On a theorem of McCoy

Rajendra K. Sharma; Amit B. Singh

Mathematica Bohemica (2024)

  • Issue: 1, page 27-38
  • ISSN: 0862-7959

Abstract

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We study McCoy’s theorem to the skew Hurwitz series ring ( HR , ω ) 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.

How to cite

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Sharma, Rajendra K., and Singh, Amit B.. "On a theorem of McCoy." Mathematica Bohemica (2024): 27-38. <http://eudml.org/doc/299229>.

@article{Sharma2024,
abstract = {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.},
author = {Sharma, Rajendra K., Singh, Amit B.},
journal = {Mathematica Bohemica},
keywords = {skew Hurwitz series ring; $\omega $-compatible ring; skew Hurwitz serieswise; quasi-Armendariz rings; zip ring; APP ring},
language = {eng},
number = {1},
pages = {27-38},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a theorem of McCoy},
url = {http://eudml.org/doc/299229},
year = {2024},
}

TY - JOUR
AU - Sharma, Rajendra K.
AU - Singh, Amit B.
TI - On a theorem of McCoy
JO - Mathematica Bohemica
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 27
EP - 38
AB - 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.
LA - eng
KW - skew Hurwitz series ring; $\omega $-compatible ring; skew Hurwitz serieswise; quasi-Armendariz rings; zip ring; APP ring
UR - http://eudml.org/doc/299229
ER -

References

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