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Title: On a theorem of McCoy (English)
Author: Sharma, Rajendra Kumar
Author: Singh, Amit B.
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 149
Issue: 1
Year: 2024
Pages: 27-38
Summary lang: English
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Category: math
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Summary: We study McCoy's theorem to the skew Hurwitz series ring $({\rm HR}, \omega )$ for some different classes of rings such as: semiprime rings, APP rings and skew Hurwitz serieswise quasi-Armendariz rings. Moreover, we establish an equivalence relationship between a right zip ring and its skew Hurwitz series ring in case when a ring $R$ satisfies McCoy's theorem of skew Hurwitz series. (English)
Keyword: skew Hurwitz series ring
Keyword: $\omega $-compatible ring
Keyword: skew Hurwitz serieswise
Keyword: quasi-Armendariz rings
Keyword: zip ring
Keyword: APP ring
MSC: 16S10
MSC: 16S85
MSC: 16U80
DOI: 10.21136/MB.2023.0031-22
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Date available: 2024-03-13T10:16:50Z
Last updated: 2024-03-13
Stable URL: http://hdl.handle.net/10338.dmlcz/152290
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