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Start Over Topic 010102 general mathematics Topic general mathematics Publication Year Range Last 10 years Language arabic
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1. Stable Semisimple Modules, Stable t- Semisimple Modules and Strongly Stable t-Semisimple Modules

Author

Inaam Mohammed Ali Hadi

Subjects
General Computer Science, General Mathematics, Science, 010102 general mathematics, General Physics and Astronomy, 010103 numerical & computational mathematics, General Chemistry, 01 natural sciences, Agricultural and Biological Sciences (miscellaneous), General Biochemistry, Genetics and Molecular Biology, Mathematics::Quantum Algebra, Fully invariant submodules, Fully stable modules, Semisimple modules, Stable injective modules, Stable submodules, t-essential submodules, t-semisimple modules, Mathematics::Metric Geometry, 0101 mathematics, Mathematics::Representation Theory
Abstract

Throughout this paper, three concepts are introduced namely stable semisimple modules, stable t-semisimple modules and strongly stable t-semisimple. Many features co-related with these concepts are presented. Also many connections between these concepts are given. Moreover several relationships between these classes of modules and other co-related classes and other related concepts are introduced.

Published
2021

2. On Blow-up Solutions of A Parabolic System Coupled in Both Equations and Boundary Conditions

Author

Maan A. Rasheed

Subjects
General Computer Science, General Mathematics, Science, 010102 general mathematics, Mathematical analysis, Mathematics::Analysis of PDEs, General Physics and Astronomy, Rection-Diffusion equation, Blow-up set, Blow-up rate estimate, Comparison principle, Radial function, General Chemistry, 01 natural sciences, Agricultural and Biological Sciences (miscellaneous), General Biochemistry, Genetics and Molecular Biology, 010101 applied mathematics, Parabolic system, Mathematics::Algebraic Geometry, Boundary value problem, 0101 mathematics, Mathematics
Abstract

This paper is concerned with the blow-up solutions of a system of two reaction-diffusion equations coupled in both equations and boundary conditions. In order to understand how the reaction terms and the boundary terms affect the blow-up properties, the lower and upper blow-up rate estimates are derived. Moreover, the blow-up set under some restricted assumptions is studied.

Published
2021

3. A Generalization of t-Practical Numbers

Author

saad abood baddai

Subjects
Discrete mathematics, General Computer Science, Generalization, General Mathematics, Bound for the t-practical numbers, Existence of t-practical numbers in an interval, Practical numbers, t-practical numbers, 010102 general mathematics, General Physics and Astronomy, General Chemistry, 01 natural sciences, Agricultural and Biological Sciences (miscellaneous), General Biochemistry, Genetics and Molecular Biology, 0103 physical sciences, lcsh:Q, 010307 mathematical physics, 0101 mathematics, lcsh:Science, Mathematics
Abstract

This paper generalizes and improves the results of Margenstren, by proving that the number of -practical numbers which is defined by has a lower bound in terms of . This bound is more sharper than Mangenstern bound when Further general results are given for the existence of -practical numbers, by proving that the interval contains a -practical for all

Published
2020