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Title: Ore extensions and the McCoy property (English)
Author: Lee, Kyu Sang
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 76
Issue: 2
Year: 2026
Pages: 699-709
Summary lang: English
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Category: math
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Summary: This paper concerns the McCoy property in the context of Ore extensions. We show that if $R$ is a $(\sigma ,\delta )$-compatible Artinian and reversible ring, then the Jacobson radical $J(R)$ is $(\sigma , \delta )$-skew McCoy and that if $R$ is a $(\sigma ,\delta )$-compatible local Artinian and right duo ring, then $J(R)$ is also $(\sigma ,\delta )$-skew McCoy. (English)
Keyword: Ore extension
Keyword: skew McCoy ring
Keyword: right duo ring
Keyword: compatibility
Keyword: Jacobson radical
Keyword: group ring
MSC: 16S36
MSC: 16U80
DOI: 10.21136/CMJ.2026.0456-25
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Date available: 2026-05-22T11:25:42Z
Last updated: 2026-05-25
Stable URL: http://hdl.handle.net/10338.dmlcz/153657
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