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273 results on '"Sandhu, G. S."'

4. A NOTE ON GENERALIZED DERIVATIONS AND LEFT IDEALS OF PRIME RINGS.

Author

SANDHU, G. S. and BOUA, A.

Subjects
HYPOTHESIS, MATHEMATICS theorems, SEMIGROUPS (Algebra), ALGEBRA, RING theory
Abstract

Let R be a prime ring and Z(R) denotes the center of R. In this study, we expose the commutativity of R as a consequence of specific differential identities involving derivations acting on left ideals of R. Finally, we give examples that demonstrate the necessity of hypotheses taken in the theorems. [ABSTRACT FROM AUTHOR]

Published
2024

5. Management of adult benign laryngotracheal stenosis

Author

Sandhu, G. S.

Subjects
617.8
Abstract

Upper airway stenosis has a significant impact on the quality of life and sometimes on life itself. The incidence of this condition is likely to be increasing as survival rates following periods of ventilation on Intensive Care Units (ICUs) improve (1, 2). Paediatric laryngotracheal stenosis is a well researched discipline and treatment includes airway augmentation with rib grafts and tracheal or cricotracheal resection with end-to-end anastomosis. At the start of my research, in 2005, adult laryngotracheal stenosis was poorly researched and the treatment options were tracheostomy, tracheal resection or cricotracheal resection, each with associated morbidity and mortality. This thesis investigates the aetiology, incidence, screening and alternative treatment options, which include endoscopic techniques, for the management of acquired adult benign laryngotracheal stenosis. The commonest causes for this condition are ventilation on intensive care units and inflammatory disorders such as Wegener's granulomatosis, idiopathic subglottic stenosis and sarcoidosis. In January 2004 a prospective database was set up in the busiest airway reconstruction unit in the United Kingdom. Data was collected on all new adult patients with upper airways stenosis. At the completion of this research in January 2010, 400 patients had been entered on this database. Due to the rarity of this condition, it was not possible to design randomised trials to compare different treatment options. This thesis is an integrated series of prospective cohort studies, with the aim of developing a greater understanding of adult airway stenosis, with a particular emphasis on minimally invasive endoscopic techniques. This research has shown that 72% of patients with post-intubation airway stenosis can be treated with these minimally invasive endoscopic techniques. Effective new treatments have been devised for the management of inflammatory stenoses when the results of previous treatments had not been effective. New tools for assessing the airway and outcome measures have also been proposed.

Published
2011

7. Multiplicative anti-derivations of generalized n-matrix rings.

Author

Ferreira, B. L. M. and Sandhu, G. S.

Subjects
*VON Neumann algebras, *OPERATOR algebras
Abstract

In this paper, we prove that every multiplicative anti-derivation map of an arbitrary generalized n -matrix ring is additive. Even more, as consequence, we get the same conclusion for the class of triangular n -matrix rings, unital prime rings with a nontrivial idempotent, standard operator algebras and factor von Neumann algebras. [ABSTRACT FROM AUTHOR]

Published
2024
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10. On Lie ideals satisfying certain differential identities in prime rings.

Author

DHARA, B., GHOSH, S., and SANDHU, G. S.

Subjects
RING theory, LIE algebras, MATHEMATICS, DIFFERENTIAL operators, SQUARE
Abstract

Let R be a prime ring of characteristic not 2, L a nonzero square closed Lie ideal of R and let F: R = R, G: R = R be generalized derivations associated with derivations d: R = R, g: R = R respectively. In this paper, we study several conditions that imply that the Lie ideal is central. Moreover, it is shown that the assumption of primeness of R can not be removed. [ABSTRACT FROM AUTHOR]

Published
2023
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25. On additivity of derivations

Author

Sandhu, G. S. and Kumar, D.

Subjects
derivation, multiplicative derivation, multiplicative semi-derivation, additivity, Peirce decomposition, диференціювання, мультиплікативне диференціювання, мультиплікативне напівдиференціювання кільця, адитивність, розклад Пірса
Abstract

Let $R$ be a ring and $M$ be an $R$-bimodule. A mapping $d:R\rightarrow M$ (not necessarily additive) is called multiplicative derivation of $R$ if $d(xy)=d(x)y+xd(y)$ for all $x,y\in R.$ In this paper, we intend to establish the additivity of $d$ under some suitable restrictions. Moreover, we introduce multiplicative semi-derivations of rings and discuss their additivity., Нехай $R$ --- деяке кільце і $M$ --- деякий $R$-бімодуль. Відображення $d:R\rightarrow M$ (не обов'язково адитивне) називається мультиплікативним диференціюванням кільця $R$, якщо $d(xy)=d(x)y+xd(y)$ для всіх $x,y\in R.$ У цій статті ми намагаємось встановити адитивність $d$ при деяких додаткових обмеженнях. Крім того ми вводимомультиплікативне напівдиференціювання кільця і обговорюємо його адитивність.

Published
2019

37. Identities involving skew Lie product and a pair of generalized derivations in prime rings with involution.

Author

Bhushan, B., Sandhu, G. S., and Kumar, D.

Abstract

In this paper, we consider skew Lie product on an involutive ring and study several algebraic identities for it, which include generalized derivations of the ring. The results give information about the commutativity of the ring and a description of the generalized derivations. [ABSTRACT FROM AUTHOR]

Published
2021
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39. MULTIPLICATIVE (GENERALIZED)-DERIVATIONS OF PRIME RINGS THAT ACT AS n-(ANTI)HOMOMORPHISMS.

Author

SANDHU, G. S.

Subjects
HOMOMORPHISMS, GENERALIZATION, MULTIPLICATION, COMMUTATIVE rings, POLYNOMIALS
Abstract

Let R be a prime ring. In this note, we describe the possible forms of multiplicative (generalized)-derivations of R that act as n-homomorphism or n-antihomomorphism on nonzero ideals of R: Consequently, from the given results one can easily deduce the results of Gusić ([7]). [ABSTRACT FROM AUTHOR]

Published
2020
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47. The combination of high-temperature sputtering with excimer laser planarization for submicrometer contact via filling.

Author

Yu, C., Sandhu, G. S., and Doan, T. T.

Subjects
*SPUTTERING (Physics), *EXCIMER lasers, *ALUMINUM alloys, *MICROMETERS
Abstract

Presents a study that investigated the use of high-temperature sputtering in conjunction with excimer laser planarization for planarizing aluminum alloy surfaces and filling submicrometer. Methodology; Influence of contact hole size and oxide thickness on surface planarization; Effect of sputter deposition temperature on the laser planarization.

Published
1992
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49. Gravitational-wave joy

Author

seyithocuk, seyithocuk, primary, jjeherrera, jjeherrera, additional, GrahamRounce, GrahamRounce, additional, rloldershaw, rloldershaw, additional, Dr Beaker, Dr Beaker, additional, eltodesukane, eltodesukane, additional, Sandhu, G S, additional, and Ophiuchi, Ophiuchi, additional

Published
2016
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