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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on zero divisors in group-rings
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by Jacques Lewin PDF
Proc. Amer. Math. Soc. 31 (1972), 357-359 Request permission

Abstract:

Let $Z{G_1}$ and $Z{G_2}$ be the integral group rings of groups ${G_1}$ and ${G_2}$ with a common normal subgroup $H$ and let $K$ be a subgroup of $H$. Let $G$ be the free product of ${G_1}$ and ${G_2}$ amalgamating $K$. If $Z{G_1}$ and $Z{G_2}$ are integral domains and if ZH has the Ore condition then ZG is again an integral domain.
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 31 (1972), 357-359
  • MSC: Primary 20C05
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0292957-X
  • MathSciNet review: 0292957