Results 141 to 150 of about 307,522 (161)

On constant Armendariz rings

Asian-European Journal of Mathematics, 2016
Let [Formula: see text] be a ring equipped with an endomorphism [Formula: see text] and an [Formula: see text]-derivation [Formula: see text]. In this article, we study [Formula: see text]-constant Armendariz rings and radicals of the Ore extension [Formula: see text], in terms of a [Formula: see text]-constant Armendariz ring [Formula: see text] with
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Quasi-Armendariz Property for Skew Polynomial Rings

Communications of the Korean Mathematical Society, 2011
The concept of the quasi-Armendariz property of rings properly contains Armendariz rings and semiprime rings. In this paper, we extend the quasi-Armendariz property for a polynomial ring to the skew polynomial ring, hence we call such ring a sigma-quasi ...
Muhittin Baser, Baser, Muhittin, Kwak, Tai Keun, Tai Keun Kwa   +3 more
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ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS

Communications in Algebra, 2002
In this note we concern the structures of Armendariz rings and semicommutative rings which are generalizations of reduced rings, the classical right quotient rings of Armendariz rings, the polynomi...
Chan Huh, Yang Lee, Agata Smoktunowicz
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Armendariz group rings

Communications in Algebra, 2016
ABSTRACTFor a torsion or torsion-free group G and a field F, we characterize the group algebra FG that is Armendariz. Armendariz property for a group ring over a general ring R is also studied and related to those of Abelian group rings and the quaternion ring over R.
Liu Yang, Xiankun Du
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$\mathcal {Z}$-Armendariz Rings and Modules

Vietnam Journal of Mathematics, 2020
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Nejadzadeh, Afsaneh, Amini, Afshin, Amini, Babak, Sharif, Habib   +3 more
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On linearly weak Armendariz rings

Journal of Pure and Applied Algebra, 2015
An associative ring \(R\) with identity is called linearly weak Armendariz if for all \(f(x)=a_0+a_1x,\;g(x)=b_0+b_1x\in R[x]\) such that \(f(x)g(x)=0\) we have \(a_ib_j\) is nilpotent for all \(i,j\). In this paper, properties of linearly weak Armendariz rings are studied.
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A Note on Skew Armendariz Rings

Communications in Algebra, 2005
ABSTRACT In this note,we answer a question of Hong et al. (2003) by proving that if α is a monomorphism of a reduced ring R, and R is α-skew Armendariz, then R is α-rigid.
Wenting Tong, Weixing Chen
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Quasi-central Armendariz rings

Journal of Algebra and Its Applications, 2020
A ring [Formula: see text] is said to be quasi-central Armendariz if [Formula: see text] and [Formula: see text] satisfy [Formula: see text] then [Formula: see text] for all [Formula: see text] and [Formula: see text]. It is proved that if [Formula: see text] is a quasi-central Armendariz ring then [Formula: see text] implies that all [Formula: see ...
Liu, Yufeng, Chen, Weixing
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π-Armendariz rings relative to a monoid

Frontiers of Mathematics in China, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Yao, Jiang, Meimei, Ren, Yanli
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On skew Hurwitz serieswise Armendariz rings

Asian-European Journal of Mathematics, 2014
For a ring endomorphism α, we introduce and investigate skew Hurwitz serieswise Armendariz (or SHA) rings which are a generalization of α-rigid rings and determine the radicals of the skew Hurwitz series ring (HR, α), in terms of those of R. We prove that several properties transfer between R and the extensions, in case R is an SHA-ring.
Ahmadi, M., Moussavi, A., Nourozi, V.
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