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 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Lee_Kee-Beng_1970_Phd.pdf | 1.56 MB | Adobe PDF | View/Open |
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