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|Title:||The Lattice of Varieties of Distributive Pseudo-Complimented Lattices|
|Keywords:||Lattice;pseudo-complimented lattice;boolean algebra;stone algebra|
|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>|
|Appears in Collections:||Open Access Dissertations and Theses|
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|Lee_Kee-Beng_1970_Phd.pdf||1.56 MB||Adobe PDF||View/Open|
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