WEAK α-SKEW ARMENDARIZ RINGS

Title & Authors
WEAK α-SKEW ARMENDARIZ RINGS
Zhang, Cuiping; Chen, Jianlong;

Abstract
For an endomorphism $\small{\alpha}$ of a ring R, we introduce the weak $\small{\alpha}$-skew Armendariz rings which are a generalization of the $\small{\alpha}$-skew Armendariz rings and the weak Armendariz rings, and investigate their properties. Moreover, we prove that a ring R is weak $\small{\alpha}$-skew Armendariz if and only if for any n, the $\small{n\;{\times}\;n}$ upper triangular matrix ring $\small{T_n(R)}$ is weak $\small{\bar{\alpha}}$-skew Armendariz, where $\small{\bar{\alpha}\;:\;T_n(R)\;{\rightarrow}\;T_n(R)}$ is an extension of $\small{\alpha}$ If R is reversible and $\small{\alpha}$ satisfies the condition that ab
Keywords
reversible rings;$\small{\alpha}$-skew Armendariz rings;weak Armendariz rings;weak $\small{\alpha}$-skew Armendariz rings;
Language
English
Cited by
1.
On Rings Having McCoy-Like Conditions, Communications in Algebra, 2012, 40, 4, 1195
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