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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| Main Authors | , , |
|---|---|
| Format | Journal Article |
| Language | English |
| Published |
27.05.2013
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| Subjects | |
| Online Access | Get full text |
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| Abstract | 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 $R$. |
|---|---|
| AbstractList | 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 $R$. |
| Author | Nejati, A Nikmehr, M. J Deldar, M |
| Author_xml | – sequence: 1 givenname: M. J surname: Nikmehr fullname: Nikmehr, M. J – sequence: 2 givenname: A surname: Nejati fullname: Nejati, A – sequence: 3 givenname: M surname: Deldar fullname: Deldar, M |
| BackLink | https://doi.org/10.48550/arXiv.1305.6193$$DView paper in arXiv |
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| Snippet | 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... |
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| SubjectTerms | Mathematics - Rings and Algebras |
| Title | On weak $\alpha$-skew McCoy Rings |
| URI | https://arxiv.org/abs/1305.6193 |
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