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Congruence Normal Covers of Finitely Generated Lattice Varieties

Published online by Cambridge University Press:  20 November 2018

Alan Day  and
J. B. Nation
Alan Day
Affiliation:
Department of Mathematics Lakehead University Thunder Bay, Ontario P7B 5E1
J. B. Nation
Affiliation:
Department of Mathematics University of Hawaii Honolulu, Hawaii 96822 U.S.A.
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Abstract

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We consider certain pseudovarieties K of lattices which are closed under the doubling of convex sets. For each such K, given an arbitrary finite lattice 𝓛, we describe the covers of the variety V(𝓛) of the form V(𝓛, K) with K a subdirectly irreducible lattice in K.

Keywords

06B2006B0508B15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 3 , 01 September 1992 , pp. 311 - 320
Copyright
Copyright © Canadian Mathematical Society 1992

References

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