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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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Algebraic conditions leading to continuous lattices
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by Jimmie D. Lawson
Proc. Amer. Math. Soc. 78 (1980), 477-481
DOI: https://doi.org/10.1090/S0002-9939-1980-0556616-2

Abstract:

This paper is concerned with sufficient conditions for a meet-continuous lattice L to be a continuous lattice. In §2 this is shown to be true if the prime elements order generate and $(L, \vee )$ is a compact topological semilattice. In §3 it is shown that a meet-continuous lattice with finite breadth is a continuous lattice.
References
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Bibliographic Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 78 (1980), 477-481
  • MSC: Primary 06B30; Secondary 03B40, 22A26
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0556616-2
  • MathSciNet review: 556616