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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

On monoids of finite real character


Author: Ulrich Krause
Journal: Proc. Amer. Math. Soc. 105 (1989), 546-554
MSC: Primary 20M14; Secondary 13A18
MathSciNet review: 953009
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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

DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0953009-9
PII: S 0002-9939(1989)0953009-9
Keywords: Partially ordered groups, essential valuations, divisor theory, Krull monoids, Krull domains
Article copyright: © Copyright 1989 American Mathematical Society