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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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On monoids of finite real character
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by Ulrich Krause PDF
Proc. Amer. Math. Soc. 105 (1989), 546-554 Request permission

Abstract:

The property of Krull domains, to be determined already by its essential valuations, is extended to a class of monoids of finite real character containing Krull monoids. This is applied to construct a divisor theory for such monoids and also to characterize Krull domains purely multiplicatively as the integral domains for which the multiplicative monoid is a Krull monoid.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 105 (1989), 546-554
  • MSC: Primary 20M14; Secondary 13A18
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0953009-9
  • MathSciNet review: 953009