COMPLETE-SIMPLE DISTRIBUTIVE LATTICES

Authors
GRATZER G SCHMIDT ET
Citation
G. Gratzer et Et. Schmidt, COMPLETE-SIMPLE DISTRIBUTIVE LATTICES, Proceedings of the American Mathematical Society, 119(1), 1993, pp. 63-69
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
119
Issue
1
Year of publication
1993
Pages
63 - 69
Database
ISI
SICI code
0002-9939(1993)119:1<63:CDL>2.0.ZU;2-#
Abstract
It is well known that the only simple distributive lattice is the two- element chain. We can generalize the concept of a simple lattice to co mplete lattices as follows: a complete lattice is complete-simple if i t has only the two trivial complete congruences. In this paper we show the existence of infinite complete-simple distributive lattices.