Research ArticleNo Access

Skew Hurwitz serieswise quasi-Armendariz rings

Kamal Paykan

https://orcid.org/0000-0002-1236-5838

Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

E-mail Address: k.paykan@gmail.com

Corresponding author.

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and

Abdolreza Tehranchi

Abdolreza Tehranchi Employee of Amazon, Bolton’s branch (YYZ7), Ontario, Canada

E-mail Address: tehranchiab@gmail.com

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https://doi.org/10.1142/S1793557121501187Cited by:0 (Source: Crossref)

Abstract

For a ring endomorphism $α$ , a generalization of semiprime rings and right p.q.-Baer rings, which we call quasi-Armendariz rings of skew Hurwitz series type (or simply, $α$ - $𝒮 ℋ 𝒬 𝒜$ ), is introduced and studied. It is shown that the $𝒮 ℋ 𝒬 𝒜$ -rings are closed upper triangular matrix rings, full matrix rings and Morita invariance. Some characterizations for the skew Hurwitz series ring $(H R, α)$ to be quasi-Baer, generalized quasi-Baer, primary, nilary, reflexive, ideal-symmetric and semiprime are concluded.

Communicated by A. V. Mikhalev

Keywords:

AMSC: 16S34, 16S35, 16S36, 16W60, 16D40

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