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Keywords:
skew Hurwitz series ring; $\omega $-compatible ring; skew Hurwitz serieswise; quasi-Armendariz rings; zip ring; APP ring
skew Hurwitz series ring; $\omega $-compatible ring; skew Hurwitz serieswise; quasi-Armendariz rings; zip ring; APP ring
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.
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