On weak $\alpha$-skew McCoy Rings

Let $\alpha$ be an endomorphism of a ring $R$. We introduce the notion of weak $\alpha$-skew McCoy rings which are a generalization of the $\alpha$-skew McCoy rings and the weak McCo rings. Some properties of this generalization are established, and connections of properties of a weak $\alpha$-skew...

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Bibliographic Details
Main Authors Nikmehr, M. J, Nejati, A, Deldar, M
Format Journal Article
LanguageEnglish
Published 27.05.2013
Subjects
Mathematics - Rings and Algebras
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Summary:Let $\alpha$ be an endomorphism of a ring $R$. We introduce the notion of weak $\alpha$-skew McCoy rings which are a generalization of the $\alpha$-skew McCoy rings and the weak McCo rings. Some properties of this generalization are established, and connections of properties of a weak $\alpha$-skew McCoy ring $R$ with $n\times n$ upper triangular $T_n(R)$ are investigated. We study relationship between the weak skew McCoy property of a ring $R$ and it's polynomial ring, $R[x]$. Among applications, we show that a number of interesting properties of a weak $\alpha$-skew McCoy ring $R$ such as weak skew McCoy property in a ring $R$.
DOI:10.48550/arxiv.1305.6193