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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Codimension of compact $M$-semilattices
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by J. W. Lea and A. Y. W. Lau PDF
Proc. Amer. Math. Soc. 52 (1975), 406-408 Request permission

Abstract:

This paper is a generalization of [5] and gives a partial answer to Question 31 in [1], i.e., if $S$ is a compact $M$-semilattice of finite codimension and $x \ne y$, then there exists a closed subsemilattice $A$ of $S$ such that $A$ separates $x$ and $y$ in $S$ and $\operatorname {cd} A < \operatorname {cd} S$.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 52 (1975), 406-408
  • MSC: Primary 22A99
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0374324-6
  • MathSciNet review: 0374324