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Classes of Semilattices Associated with an Equational Class of Lattices

Published online by Cambridge University Press:  20 November 2018

H. S. Gaskill
H. S. Gaskill*
Affiliation:
Simon Fraser University, Burnaby, British Columbia
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In this paper we consider the question of whether there is a natural class of semilattices associated with a fixed equational class of lattices. We give four classes of semilattices which may be obtained from a given equational class of lattices and show that for the distributive case they coalesce into one class. An incomplete set of relations is given for the general case.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 2 , April 1973 , pp. 361 - 365
Copyright
Copyright © Canadian Mathematical Society 1973

References

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