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Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/18518
Title: The Lattice of Varieties of Distributive Pseudo-Complimented Lattices
Authors: Lee, Kee-Beng
Advisor: Bruns, G.
Department: Mathematics
Keywords: Lattice;pseudo-complimented lattice;boolean algebra;stone algebra
Publication Date: May-1970
Abstract: <p>The lattice of varieties of distributive pseudo-complemented lattices is completely described, viz. a chain of type W + 1. Moreover, each variety is determined by a single equation in addition to those equations which define distributive pseudo-complemented lattices. Characterizations of distributive pseudo-complemented lattices satisfying a certain equation are given which turn out to be generalizations of L. Nachbin's result for Boolean algebras and the results for Stone algebras obtained by G. Gratzer-E. '11. Schmidt and J. C. Varlet. </p>
URI: http://hdl.handle.net/11375/18518
Appears in Collections:Open Access Dissertations and Theses

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