Results 241 to 250 of about 1,006,297 (273)

Generalizations of reversible and Armendariz rings

International Journal of Algebra and Computation, 2016
This paper concerns several ring theoretic properties related to matrices and polynomials. The basic properties of [Formula: see text]-reversible and power-Armendariz are studied. We provide a method by which one can always construct a power-Armendariz ring but neither symmetric nor Armendariz from given any symmetric ring. We investigate next various
Juncheol Han, Tai Keun Kwak, Chang Ik Lee, Yang Lee, Yeonsook Seo   +4 more
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e-reversibility of rings via quasinilpotents

Georgian Mathematical Journal, 2023
Abstract The reversible property of rings was introduced by Cohn and has important generalizations in noncommutative ring theory. In this paper, reversibility of rings is investigated in relation with quasinilpotents and idempotents, and our argument is spread out based on this. We call a ring R Qnil e-reversible if for
Handan Kose, Burcu Ungor, Abdullah Harmanci   +2 more
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On a property of polynomial rings over reversible rings

Communications in Algebra, 2018
In this article, we first observe a sort of property of ideals generated by zero-dividing polynomials over reversible rings, in relation with products of ideals at zero.
Hai-lan Jin, Hong Kee Kim, Tai Keun Kwak, Yang Lee, Zhelin Piao   +4 more
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Reversibility in matrix rings and group algebras

Periodica Mathematica Hungarica
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Truong Huu Dung, Bui Xuan Hai, Tran Nam Son   +2 more
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On $$\mathcal {Z}$$-Reversible Rings

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2022
Avanish Kumar Chaturvedi, Nirbhay Kumar
openaire   +1 more source

Reversible and Duo Group Rings

2010
We summarize recent results on reversible group rings, duo group rings, and graded reversible group rings; and we mention several open problems.
Howard E. Bell, Yuanlin Li
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Small reversible nonsymmetric rings

Journal of Algebra and Its Applications
A symmetric ring is reversible and a reversible ring is abelian reflexive. It has been shown that the smallest order for both a reversible nonsymmetric ring and an abelian reflexive nonreversible is 256. Examples of such rings are [Formula: see text] and [Formula: see text], respectively. The aim of the paper is to show that for a given prime [Formula:
Jeremy Moore, Steve Szabo
openaire   +1 more source

Reversible ring property via idempotent elements

Georgian Mathematical Journal, 2022
Abdullah Harmanci, Burcu Üngör, Handan Kose   +2 more
exaly  

Design and analysis of an efficient reversible hybrid new gate using silicon micro-ring resonator-based all-optical switch

Photonic Network Communications, 2022
Jayanta Kumar Rakshit, Manjur Hossain
exaly  

Hyper-chaotic image encryption system based on N + 2 ring Joseph algorithm and reversible cellular automata

Multimedia Tools and Applications, 2023
Chunhua Wang
exaly