Results 11 to 20 of about 86,016 (287)

Extensions of i-reversible rings

open access: yesJournal of Algebra and Its Applications, 2023
A ring [Formula: see text] is said to be i-reversible if for every [Formula: see text] [Formula: see text][Formula: see text], [Formula: see text] is a nonzero idempotent implies [Formula: see text] is an idempotent. It is known that the rings [Formula: see text] and [Formula: see text] (the ring of all upper triangular matrices over [Formula: see ...
Lama, Vivek Bhabani   +3 more
openaire   +3 more sources

A generalization of reversible rings [PDF]

open access: yes, 2014
In this paper, we introduce a class of rings which is a generalization of reversible rings. Let R be a ring with identity. A ring R is called central reversible if for any a,b א R, ab=0 implies ba belongs to the center of R. Since every reversible ring is central reversible, we study sufficient conditions for central reversible rings to be reversible ...
Kose, H.   +3 more
core   +4 more sources

Experimental demonstration of an optical Feynman gate for reversible logic operation using silicon micro-ring resonators

open access: yesNanophotonics, 2018
Currently, the reversible logic circuit is a popular research topic in the field of information processing as it is a most effective approach to minimize power consumption, which can achieve the one-to-one mapping function to identify the input signals ...
Tian Yonghui   +10 more
doaj   +3 more sources

On zero divisor graph of unique product monoid rings over Noetherian reversible ring [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2016
Let $R$ be an associative ring with identity and $Z^*(R)$ be its set of non-zero zero divisors.  The zero-divisor graph of $R$, denoted by $Gamma(R)$, is the graph whose vertices are the non-zero  zero-divisors of  $R$, and two distinct vertices $r$ and $
Ebrahim Hashemi   +2 more
doaj   +1 more source

Reversible and symmetric rings

open access: yesJournal of Pure and Applied Algebra, 2002
A ring is called right (resp. left) duo if every right (resp. left) ideal is two-sided. A ring \(R\) is said to be reversible if \(ab=0\) is equivalent to \(ba=0\) for all \(a,b\in R\). A stronger condition than reversible is symmetric. A ring \(R\) is called symmetric if \(abc=0\) if and only if \(acb=0\) for all \(a,b,c\in R\). In this paper, precise
Marks, Greg
openaire   +2 more sources

Ore extensions of zip and reversible rings

open access: yesCommunications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2006
Bu makalede zip ve reversible halkaların Ore genişlemeleri çalışılmıştır. R bir halka, $\\alpha$; R nin bir endomorfizması ve $\\delta$ bir $\\alpha$-türev olmak üzere; aşağıdakiler ispatlanmıştır. (1) R nin bir sağ zip halka olması için gerek ve yeter koşul R[x; $\\alpha$, $\\delta$ ] nın bir sağ zip halka olmasıdır.
Baser, Muhittin
openaire   +4 more sources

On GP-InjectivityWith Some Types of Rings [PDF]

open access: yesمجلة التربية والعلم, 2007
The purpose of this paper is to study GP-injective modules and give some of it is properties. Also, we proved: (1) If every simple right R-module is GP-injective, and R is reversible ring, then R is a right weakly -regular.
Abdullah M. Abdul-Jabbar   +1 more
doaj   +1 more source

A Note on Skew Generalized Power Serieswise Reversible Property

open access: yesInternational Journal of Analysis and Applications, 2023
The aim of this paper is to introduce and study (S, ω)-nil-reversible rings wherein we call a ring R is (S, ω)-nil-reversible if the left and right annihilators of every nilpotent element of R are equal.
Eltiyeb Ali
doaj   +1 more source

Construction of reversible cyclic codes over 𝔽q + u𝔽q + u2𝔽q

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
Let q be a power of prime p. In this article, we investigate the reversible cyclic codes of arbitrary length n over the ring R = 𝔽q +u𝔽q + u2𝔽q, where u3 = 0 mod q.
Rehman Nadeem ur   +2 more
doaj   +1 more source

Enlighten the non-illuminated region by phase segregation of mixed halide perovskites

open access: yesLight: Science & Applications, 2022
Ions in mixed halide perovskite migrate to the non-illuminated region to form a macroscopic ring structure under laser irradiation, which is reversible after removing the light.
Yan Lv   +3 more
doaj   +1 more source

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