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This paper investigates relative ring theoretical properties in the context of formal triangular matrix rings. The first aim is to study the semiregularity of formal triangular matrix rings relative to an ideal. We prove that the formal triangular matrix ring T is T'-semiregular if and only if A is Isemiregular, B is K-semiregular and N = M for an ideal T' = (I0NK) of T = (A0MB). We also discuss the relative semiperfect formal triangular matrix rings in relation to the strong lifting property of ideals. Moreover, we have considered the behavior of relative semipotent and potent property of formal triangular matrix rings. Several examples are provided throughout the paper in order to highlight our results. [ABSTRACT FROM AUTHOR]

Copyright of Journal of Faculty of Pharmacy of Ankara University / Ankara Üniversitesi Eczacilik Fakültesi Dergisi is the property of Ankara University and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Tender selection is a fundamental issue for the success of construction projects since it contributes to the overall outline's performance. In reallife problems, the decision-makers cannot express certain crisp data, so there is uncertainty and vagueness in the values. In this paper, a sustainable technique is proposed to find desirable tenderers coherently and fairly under the needed circumstances. This paper presents three methods of an algorithmic approach to evaluate the tendering process and rank the tenderers. The attributes are expressed as Linear Diophantine Multi-Fuzzy Soft numbers (LDMFSN) since the existence of reference parameters makes the DM freely choose their grade values. Some of the rudimentary properties of LDMFSN are presented. An illustrative example is demonstrated to validate our proposed method. The uniqueness of the result in all three algorithms shows the effectiveness of our proposed approach. [ABSTRACT FROM AUTHOR]

In this paper, we propose to study a SEIR model of fractional order with an incidence and a treatment function. The incidence and treatment functions included in the model are general nonlinear functions that satisfy some meaningful biological hypotheses. Under these hypotheses, it is shown that the disease free equilibrium point of the proposed model is locally and globally asymptotically stable when the reproduction number R0 is smaller than 1. When R0 > 1, it is established that the endemic equilibrium of the studied system is uniformly asymptotically stable. Finally, some numerical simulations are provided to illustrate the theory. [ABSTRACT FROM AUTHOR]

The fundamental goal of our paper is to study θ-convex contractive mappings in metric spaces. We demonstrate some fixed point results for such mappings. Also, we give an application to integral equations of our results. Consequently, our results encompass numerous generalizations of the Banach contraction principle on metric space. [ABSTRACT FROM AUTHOR]

The structures of symmetric connectedness and dually, antisymmetric connectedness were described and studied before, especially in terms of graph theory as the corresponding counterparts of the connectedness of a graph and the connectedness of its complementary graph. By taking into consideration the deficiencies of topological density in the context of symmetric and antisymmetric connectedness, two special kinds of density in the theory of non-metric T0-quasi-metrics were introduced in the previous studies under the names symmetric density and antisymmetric density. In this paper, some crucial and useful properties of these two types of density are investigated with the help of the major results and (counter)examples peculiar to the asymmetric environment. Besides these, many further observations about the structures of symmetric and antisymmetric-density are dealt with, especially in the sense of their combinations such as products and unions through various theorems in the context of T0-quasi-metrics. Also, we examine the question of under what kind of quasi-metric mapping these structures will be preserved. [ABSTRACT FROM AUTHOR]

Copyright of Antropoloji is the property of Ankara University and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

In this paper, we study minimal translations surfaces in a strict Walker 3-manifold. Based on the existence of two isometries, we classify minimal translation surfaces on this class of manifold. Some drawings have been added to illustrate the shape of certain surfaces. [ABSTRACT FROM AUTHOR]

In this paper, singularly perturbed pseudo-parabolic initial-boundary value problems with time-delay parameter are considered by numerically. Initially, the asymptotic properties of the analytical solution are investigated. Then, a discretization with exponential coefficient is suggested on a uniform mesh. The error approximations and uniform convergence of the presented method are estimated in the discrete energy norm. Finally, some numerical experiments are given to clarify the theory. [ABSTRACT FROM AUTHOR]

In this paper, we give a new complex deformable derivative and integral of order λ which coincides with the classical derivative and integral for the special values of the parameters. We examine the basic properties of this derivative and integral. We also investigate the basic concepts of complex analysis for the λ-complex deformable derivative. Finally, we give some applications. [ABSTRACT FROM AUTHOR]

Frank matrix is one of the popular test matrices for eigenvalue routines because it has well-conditioned and poorly conditioned eigenvalues. In this paper, we investigate the bounds for the maximum eigenvalues of the special cases of the generalized Frank matrices which are called Fibonacci-Frank and Lucas-Frank matrices. Then, we obtain the Euclidean norms and the upper bounds for the spectral norms of these matrices. [ABSTRACT FROM AUTHOR]

This paper focuses on the set-oriented operations and set-oriented algebraic structures of soft sets. Relatedly, in this paper, firstly some essential properties of a-intersection of soft set are investigated, where a is a non-empty subset of the universal set. Later, by using a-intersection of soft set, the notion of set-generated soft subring of a ring is introduced. The generators of soft intersections and products of soft subrings are given. Some related properties about generators of soft subrings are investigated and illustrated by several examples. [ABSTRACT FROM AUTHOR]

In the present paper we construct a, new approach structure called Fell approach structure We define the new structure by means of lows' regular function frames and prove that, the Top-corefleetion of this new structure is the ordinary Fell topology. We also give analogue result for the extended Fell topology and investigate some properties of Fell approach structure [ABSTRACT FROM AUTHOR]

In this paper, results of a computer search for disjoint sets associated with maximal arcs and unitals in projective planes of order 16, and disjoint sets associated with unitals in projective planes of orders 9 and 25 are reported. It is shown that the number of pairs of disjoint unitals in planes of order 9 is exactly four, and new pairs and triples of disjoint degree 4 maximal arcs are shown to exist in some of the planes of order 16. New bounds on the number of 104-sets of type (4, 8) and 156-sets of type (8, 12) are achieved. A combinatorial method for finding new maximal arcs, new unitals, and new v-sets of type (m, n) is introduced. All disjoint sets found in this study are explicitly listed. [ABSTRACT FROM AUTHOR]

The paper deals with the existence of solutions for a general class of second-order nonlinear impulsive boundary value problems defined on an infinite interval. The main innovative aspects of the study are that the results are obtained under relatively mild conditions and the use of principal and nonprincipal solutions that were obtained in a very recent study. Additional results about the existence of bounded solutions are also provided, and theoretical results are supported by an illustrative example. [ABSTRACT FROM AUTHOR]

In this paper we impose distinct restrictions on the moduli of the zeros of p(z) = nP v=0 avzv and investigate the dependence of ∥p(Rz) - p(σz)∥, R > σ ≥ 1 on Mα and Mα+π, where Mα = max 1≤k≤n |p(ei(α+2kπ)/n)| and on certain coefficients of p(z). This paper comprises several results, which in particular yields some classical polynomial inequalities as special cases. Moreover, the problem of estimating p 􀀀 1 - w/n, 0 < w ≤ n given p(1) = 0 is considered. [ABSTRACT FROM AUTHOR]

In this paper, we deal with the compositions of the integers. We present the decompositions for both the composition sets and the odd composition sets of the integers. Thus the decompositions provide us to have not only an alternative proof of some well known identies but also many new identities for Fibonacci numbers and Lucas numbers. Thus we investigate the generating functions for the product sum of the odd composition sets of the integers and attain some functional equations. [ABSTRACT FROM AUTHOR]

In this paper, we propose a new generalization of Ramos-Louzada (RL) distribution based on two additional shape parameters. Along with the genesis of its distributional form, the derivation of cumulative density function (cdf), survival and hazard rate functions, the quantile function (qf), moments, moment generating function (mgf), Shannon and Renyi entropies, order statistics and a linear representation of the proposed distribution are inspected. Several estimation methods of the model parameters are discussed throughout two comprehensive simulation studies conducted to compare its performance against some lifetime distributions. Application of a real dataset is presented to illustrate the potentiality of this distribution in line with the simulation studies. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the notion of generalized weakly contractive type multi-valued mapping with respect to a single-valued mapping and prove the existence of PPF dependent coincidence points in Banach spaces. Further, we introduce the notion of generalized weakly contractive type multivalued mappings for a pair of multi-valued mappings and prove the existence of PPF dependent common fixed points in Banach spaces. We draw some corollaries and provide nontrivial examples to illustrate our results. [ABSTRACT FROM AUTHOR]

The Hybrid numbers are generalizations of complex, hyperbolic and dual numbers. In recent years, studies related with hybrid numbers have been increased significantly. In this paper, we introduce the generalized bivariate conditional Fibonacci and Lucas hybrinomials. Also, we present the Binet formula, generating functions, some significant identities, Catalan's identities and Cassini's identities of the generalized bivariate conditional Fibonacci and Lucas hybrinomials. Finally, we give more general results compared to the previous works. [ABSTRACT FROM AUTHOR]

Through this paper, via the operators (.)* and ψ, we presented notion of *-Locally set in an ideal topological space Zi as a new stronger form of locally closed set, and considered relations with various existing weak form of locally closed set. Preservations of direct images as well as inverse images of (.)*, ψ, *-perfect and various weak forms of locally closed set including *-Locally closed set are important investigating part. Besides, we pointed out that consideration of 'bijectivity' in Lemma 3.1 of [24] is sufficient, and the Lemma 3.3 of [24] is wrong. We demonstrated two modifications of the last one. [ABSTRACT FROM AUTHOR]

In this paper, we study some fractional Dirac-type systems with the Mittag-Leffler kernel. We extend the basic spectral properties of the ordinary Dirac system to the Dirac-type systems with the Mittag-Leffler kernel. First, this problem was handled in a continuous form. The self-adjointness of the operator produced by this system, the reality of its eigenvalues, and the orthogonality of the eigenfunctions have been investigated. Later, similar results were obtained by considering the discrete state. [ABSTRACT FROM AUTHOR]

In this paper, we give some characterizations of quaternionic Bertrand curves whose torsion is non-zero but bitorsion is zero in R4 according to Type 2-Quaternionic Frame. One of the most important points in working on quaternionic curves is that given a curve in R4, the curve in R³ associated with this curve is determined individually. So, we obtain some relationships between quaternionic Bertrand curve α(4) in R4 and its associated spatial quaternionic curve α in R³. Also, we support some theorems in the paper by means of an example. [ABSTRACT FROM AUTHOR]

In the present paper, the bicomplex Leonardo numbers will be introduced with the use of Leonardo numbers and some important algebraic properties including recurrence relation, generating function, Catalan's and Cassini's identities, Binet's formula, sum formulas will also be obtained. [ABSTRACT FROM AUTHOR]

For a bounded linear operator A on a functional Hilbert space H(O), with normalized reproducing kernel ..., the Berezin symbol and Berezin number are defined respectively by ... and ber(A):= sup .... A simple comparison of these properties produces the inequality ber ... 1/2 = (see [17]). In this paper, we prove further inequalities relating them, and also establish some inequalities for the Berezin number of operators on functional Hilbert spaces. [ABSTRACT FROM AUTHOR]

Copyright of Journal of Banking & Insurance / Bankacılık ve Sigortacılık Araştırmaları Dergisi is the property of Ankara University and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

In this paper, it is aimed to construct two different dynamical systems on the Sierpinski tetrahedron. To this end, we consider the dynamical systems on a quotient space of {0, 1, 2, 3}N by using the code representations of the points on the Sierpinski tetrahedron. Finally, we compare the periodic points to investigate topological conjugacy of these dynamical systems and we conclude that they are not topologically equivalent. [ABSTRACT FROM AUTHOR]

This paper aims to bring together quaternions and generalized complex numbers. Generalized quaternions with generalized complex number components are expressed and their algebraic structures are examined. Several matrix representations and computational results are introduced. An alternative approach for a generalized quaternion matrix with elliptic number entries has been developed as a crucial part. [ABSTRACT FROM AUTHOR]

This paper demonstrates through a numerical experiment that utilization of strongly convex functions strengthens the bound presented for the Jensen gap in [4]. Consequently the improved result enables to present improvements in the bounds obtained for the Hölder and Hermite-Hadamard gaps and proposes such improvements in the results obtained for various entropies and divergences in information theory. [ABSTRACT FROM AUTHOR]

In this paper, we solve the equation under weak assumptions. Here, Fn is nth Fibonacci number and denotes Fibonomial coefficient. [ABSTRACT FROM AUTHOR]

In comparison to conventional fuzzy sets, the idea of intervalvalued intuitionistic fuzzy sets provides a more accurate definition of uncertainty. Defuzzification is the aspect of fuzzy control that requires the most processing. It has numerous applications in fuzzy control. In this paper, the concepts strength, length, distance, eccentricity, radius, diameter, centred, selfcentered, path cover, and edge cover of an interval-valued intuitionistic fuzzy graph (IVIFG) are defined in this work. Further, we introduce the definition of a self-centered IVIFG and the necessary and sufficient conditions for an IVIFG to be self-centered are given. Moreover, we investigate some properties of self-centered IVIFG with an illustration and we have discussed applications in IVIFG. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to investigate some properties of multiplicative regular and periodic Sturm-Liouville problems given in general form. We first introduce regular and periodic Sturm-Liouville (S-L) problems in multiplicative analysis by using some algebraic structures. Then, we discuss the main properties such as orthogonality of different eigenfunctions of the given problems. We show that the eigenfunctions corresponding to same eigenvalues are unique modulo a constant multiplicative factor and reality of the eigenvalues of multiplicative regular S-L problems. Finally, we present some examples to illustrate our main results. [ABSTRACT FROM AUTHOR]

Let Sn-1 denote the unit sphere in Rn with the normalized Lebesgue measure. Let F Lr(Sn-1) is a homogeneous function of degree zero and b is a locally integrable function on Rn. In this paper we define the higher order commutators of Marcinkiewicz integral [b, µF]m and prove the boundedness of [b, µF]m under some proper assumptions on grand variable Herz-Morrey spaces M Ka(·),ß u,v(·) (Rn). [ABSTRACT FROM AUTHOR]

In this paper, it has been researched curves lying on parallel-like surfaces Mf of the ruled surface M in E³. Using the definition of parallel-like surfaces it has been found parametric expressions of parallel-like surface of the ruled surface and image curve of the directrix curve of the base surface. Moreover, obtaining Darboux frames of curves lying on surfaces M and Mf, it has been compared the geodesic curvatures, the normal curvatures and the geodesic torsions of these curves. [ABSTRACT FROM AUTHOR]

One of the objectives of this paper is to establish the exact controllability for wave-type evolution equations on non-convex and/or cracked domains with non-concurrent support crack lines. Admittedly, we know that according to the work of Grisvard P., in domains with corners or cracks, the formulas of integrations by parts are subject to geometric conditions: the lines of cracks or their supports must be concurrent. In this paper, we have established the exact controllability for the wave equation in a domain with cracks without these additional geometric conditions. [ABSTRACT FROM AUTHOR]

In this paper, we first define the notion of F-cosmall quotients for an additive exact substructure F of an exact structure E in an additive category A. We show that every F-cosmall quotient is right minimal in some cases. We also give the definition of F-superfluous quotients and we relate it the approximation of modules. As an application, we investigate our results in a pure-exact substructure F. [ABSTRACT FROM AUTHOR]

The current paper establishes the sharp weak bounds of p-adic fractional Hardy operator. Furthermore, optimal weak type estimates for p-adic Hardy operator on central Morrey space are also acquired. [ABSTRACT FROM AUTHOR]

The Veterinary Journal of Ankara University has released its third issue for the year 2024, featuring 15 articles including research papers, case reports, and a review article. The journal has been ranked among the Q3 journals in the Journal Impact Factors and Quartile rankings for 2023. The editorial also pays tribute to the late Prof. Dr. Rıfkı Hazıroğlu, former Chief Editor of the journal, and expresses gratitude to stakeholders and readers. The editor hopes that the latest issue will contribute to the world of science. [Extracted from the article]

Copyright of Journal of Faculty of Pharmacy of Ankara University / Ankara Üniversitesi Eczacilik Fakültesi Dergisi is the property of Ankara University and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Given a real bounded sequence x = (xj) and an infinite matrix A = (anj) the Knopp core theorem is equivalent to study the inequality lim sup Ax ≤ lim sup x. Recently Fridy and Orhan [6] have considered some variants of this inequality by replacing lim sup x with statistical limit superior st - lim sup x. In the present paper we examine similar type of inequalities by employing a power series method P, a non-matrix sequence-to-function transformation, in place of A = (anj). [ABSTRACT FROM AUTHOR]

In this work we reflect a new system of generalized nonlinear variational inclusion problems in 2-uniformly smooth Banach spaces. By using resolvent operator technique, we offer an iterative algorithm for figuring out the approximate solution of the said system. The motive of this paper is to review the convergence analysis of a system of generalized nonlinear variational inclusion problems in 2-uniformly smooth Banach spaces. The proposition used in this paper can be considered as an extension of propositions for examining the existence of solution for various classes of variational inclusions considered and studied by many authors in 2-uniformly smooth Banach spaces. [ABSTRACT FROM AUTHOR]

This paper is mainly developed around the diagonal section which is strongly related to tail dependence coefficients as defined in Nelsen [19]. Hence, we propose a flexible method for estimating tail dependence coefficients based on the new smooth estimation of the diagonal section based on the Bernstein polynomial approximation. To assess the performance of the new estimators we conduct the Monte-Carlo simulation study. As a result of the simulation study, both estimators perform satisfactory performance. Also, the estimation methods are illustrated by real data examples. [ABSTRACT FROM AUTHOR]

In this paper, we define an implicit random iterative process with errors for three finite families of generalized asymptotically nonexpansive random operators. We also prove some convergence theorems using this iteration method in separable Banach spaces. [ABSTRACT FROM AUTHOR]

Let (M, g) be a Riemannian manifold and TM be its tangent bundle. The purpose of this paper is to study statistical structures on TM with respect to the metrics Gf 1 = cg + v(fg) and Gf 2 = sgf + hg, where f is a smooth function on M, cg is the complete lift of g, v(fg) is the vertical lift of fg, sgf is a metric obtained by rescaling the Sasaki metric by a smooth function f and hg is the horizontal lift of g. Moreover, we give some results about Killing vector fields on TM with respect to these metrics. [ABSTRACT FROM AUTHOR]

In this paper, we introduce Bertrand and Mannheim curves of framed curves, which are a special singular curve in 3D Lie groups. We explain the conditions for framed curves to be Bertrand curves and Mannheim curves in 3D Lie groups. We give relationships between framed curvatures and Lie curvatures of Bertrand and Mannheim curves of framed curves. In addition, we obtain the characterization of Bertrand and Mannheim curves according to the various frames of framed curves in 3D Lie groups. [ABSTRACT FROM AUTHOR]

In the present paper, we introduce a two-order nonlinear fractional sequential Langevin equation using the derivatives of Atangana-Baleanu and Caputo-Fabrizio. The existence of solutions is proven using a fixed point theorem under a weak topology, and an illustrative example is then given. Furthermore, we present new fractional versions of the Adams-Bashforth three-step approach for the Atangana-Baleanu and Caputo derivatives. New nonlinear chaotic dynamics are performed by numerical simulations. [ABSTRACT FROM AUTHOR]

In the present paper we construct a new approach structure called Fell approach structure. We define the new structure by means of lower regular function frames and prove that the Top-coreflection of this new structure is the ordinary Fell topology. We also give analogue result for the extended Fell topology and investigate some properties of Fell approach structure. [ABSTRACT FROM AUTHOR]

Recently, Bakhet et al. [9] presented the Wright hypergeometric matrix function 2R(τ) 1 (A,B;C; z) and derived several properties. Abdalla [6] has since applied fractional operators to this function. In this paper, with the help of the generalized Pochhammer matrix symbol (A;B)n and the generalized beta matrix function B(P,Q;X), we introduce and study an extended form of the Wright hypergeometric matrix function, 2R(τ) 1 ((A;A),B;C; z;X). We establish several potentially useful results for this extended form, such as integral representations and fractional derivatives. We also derive some properties of the corresponding incomplete extendedWright hypergeometric matrix function. [ABSTRACT FROM AUTHOR]