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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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Principal ideals in the ideal lattice
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by H. Subramanian PDF
Proc. Amer. Math. Soc. 31 (1972), 445 Request permission

Abstract:

We show that there cannot be a definition of “principal elements” in the theory of multiplicative lattices so that the notion of principal elements concurs with the notion of principal ideals when interpreted in the ideal lattices of rings.
References
Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 31 (1972), 445
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0284424-4
  • MathSciNet review: 0284424