Results 21 to 30 of about 306 (165)

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

On Crossed Product Rings Over p.q.-Baer and Quasi-Baer Rings

open access: yesInternational Journal of Analysis and Applications, 2023
In this paper, we consider a ring R and a monoid M equipped with a twisting map f: M×M -> U(R) and an action map ω: M -> Aut(R). The main objective of our study is to investigate the conditions under which the crossed product structure R⋊M is p.q.-Baer ...
Eltiyeb Ali
doaj   +1 more source

The Armendariz graph of a ring

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
In this paper we initiate the study of Armendariz graph of a commutative ring R and investigate the basic properties of this graph such as diameter, girth, domination number, etc. The Armendariz graph of a ring R, denoted by A(R), is an undirected graph with nonzero zero-divisors of R[x] (i.e., Z(R[x])*) as the vertex set, and two distinct vertices f(x)
Abdioğlu Cihat   +2 more
openaire   +2 more sources

ON A RING PROPERTY GENERALIZING POWER-ARMENDARIZ AND CENTRAL ARMENDARIZ RINGS

open access: yesKorean Journal of Mathematics, 2015
Summary: We in this note consider a class of rings which is related to both power-Armendariz and central Armendariz rings, in the spirit of Armendariz and Kaplansky. We introduce central power-Armendariz as a generalization of them, and study the structure of central products of coefficients of zero-dividing polynomials.
Cha, Ho Jun   +10 more
openaire   +3 more sources

Semi-Armendariz and Semi-McCoy rings

open access: yesپژوهش‌های ریاضی, 2021
We introduce the notion of Semi-Armendariz (resp. Semi-McCoy) rings, which are a subclass of J-Armendariz (resp. J-McCoy rings) and investigate their properties. A ring R is called Semi-Armendariz (Semi-McCoy) if  is Armendariz (McCoy).
shervin sahebi
doaj  

Armendariz rings

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rege, M. B., Chhawchharia, Sima
openaire   +3 more sources

Alpha - Skew Pi - Armendariz Rings [PDF]

open access: yes, 2018
In this article we introduce a new concept called Alpha-skew Pi-Armendariz rings (Alpha - S Pi - AR)as a generalization of the notion of Alpha-skew Armendariz rings.Another important goal behind studying this class of rings is to employ it in order to ...
Ajaj, Ahmed M   +3 more
core   +1 more source

On a theorem of McCoy [PDF]

open access: yesMathematica Bohemica
We study McCoy's theorem to the skew Hurwitz series ring $({\rm HR}, \omega)$ for some different classes of rings such as: semiprime rings, APP rings and skew Hurwitz serieswise quasi-Armendariz rings.
Rajendra Kumar Sharma, Amit B. Singh
doaj   +1 more source

On Armendariz rings [PDF]

open access: yes, 2013
Çalışmamızda Armendariz halkalar ve Armendariz halkalarla bağlantılı halkalar aralarındaki ilişkiler incelendi. Bu tez dört bölümden oluşmaktadır. İlk bölümde diğer bölümlerde kullanacağımız tanım ve teoremler verildi.
Uğuz, Teslime
core   +2 more sources

Extension of Antoine’s Ring Construction

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2019
This article concerns a kind of extension of Antoine’s ring construction which is unit-IFP and Armendariz. Such extensions are also shown to be unit-IFP and Armendariz, by which we may extend the classes of unit-IFP and Armendariz rings.
Tai Keun Kwak
doaj   +1 more source

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