Critical edges in subdirectly irreducible lattices

Jónsson, Bjarni; Rival, Ivan

doi:10.1090/S0002-9939-1977-0450148-8

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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Critical edges in subdirectly irreducible lattices
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by Bjarni Jónsson and Ivan Rival PDF

Proc. Amer. Math. Soc. 66 (1977), 194-196 Request permission

Abstract:

In studying a particular subdirectly irreducible lattice it is often important to know the location of a critical edge, that is, a quotient that is collapsed by every nontrivial congruence relation. We show that a critical edge can always be found in a rather natural location.

References

R. P. Dilworth and Ralph Freese, Generators of lattice varieties, Algebra Universalis 6 (1976), no. 3, 263–267. MR 427175, DOI 10.1007/BF02485834