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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on Dedekind rings
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by Ryûki Matsuda
Proc. Amer. Math. Soc. 43 (1974), 489
DOI: https://doi.org/10.1090/S0002-9939-1974-0330150-4
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Abstract:

We prove the following theorem: let $R$ be a commutative ring without zero-divisors. If every ideal in $R$ is a product of prime ideals $\ne R,R$ has the identity.
References
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 43 (1974), 489
  • MSC: Primary 13F05
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0330150-4
  • MathSciNet review: 0330150