The Lattice of Varieties of Distributive Pseudo-Complimented Lattices
| dc.contributor.advisor | Bruns, G. | |
| dc.contributor.author | Lee, Kee-Beng | |
| dc.contributor.department | Mathematics | en_US |
| dc.date.accessioned | 2015-11-03T20:10:17Z | |
| dc.date.available | 2015-11-03T20:10:17Z | |
| dc.date.issued | 1970-05 | |
| dc.description.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> | en_US |
| dc.description.degree | Doctor of Philosophy (PhD) | en_US |
| dc.description.degreetype | Thesis | en_US |
| dc.identifier.uri | http://hdl.handle.net/11375/18518 | |
| dc.language.iso | en | en_US |
| dc.subject | Lattice | en_US |
| dc.subject | pseudo-complimented lattice | en_US |
| dc.subject | boolean algebra | en_US |
| dc.subject | stone algebra | en_US |
| dc.title | The Lattice of Varieties of Distributive Pseudo-Complimented Lattices | en_US |