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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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Commutative regular rings without prime model extensions
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by D. Saracino and V. Weispfenning PDF
Proc. Amer. Math. Soc. 47 (1975), 201-207 Request permission

Abstract:

It is known that the theory $K$ of commutative regular rings with identity has a model completion $K’$. We show that there exists a countable model of $K$ which has no prime extension to a model of $K’$.
References
Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 47 (1975), 201-207
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0351805-2
  • MathSciNet review: 0351805