On a theorem of McCoy

On a theorem of McCoy

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 Hurw...

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Veröffentlicht in:Mathematica Bohemica 2024-04, Vol.149 (1), p.27-38
Hauptverfasser: Sharma, Rajendra Kumar, Singh, Amit B.
Format: Artikel
Sprache:eng
Schlagworte:
app ring
omega$-compatible ring
quasi-armendariz rings
skew hurwitz series ring
skew hurwitz serieswise
zip ring
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Zusammenfassung: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.
ISSN:0862-7959
2464-7136
DOI:10.21136/MB.2023.0031-22