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Proceedings of the American Mathematical Society

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A note on Dedekind rings


Author: Ryûki Matsuda
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
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0330150-4
Article copyright: © Copyright 1974 American Mathematical Society

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