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arXiv · 1503.03461

Skew polynomial rings over abelian and idempotent reflexive rings

Mohamed Louzari
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Abstract

Let $R$ be a ring and $\sigma$ an endomorphism of $R$. In this note, we study skew polynomial rings and skew power series rings over idempotent reflexive rings and abelian rings. Also, we introduce the concept of right (resp., left) $\sigma$-idempotent reflexive rings which generalizes right (resp., left) idempotent reflexive rings and $\sigma$-abelian rings. Certain results are obtained as corollaries from our results.

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Mohamed Louzari. 2015-03-11. Skew polynomial rings over abelian and idempotent reflexive rings. https://arxiv.org/abs/1503.03461

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