학술논문

Dense Elements in Almost Distributive Lattices.
Document Type
Article
Source
Southeast Asian Bulletin of Mathematics. 2004, Vol. 27 Issue 6, p1081-1088. 8p.
Subject
*DISTRIBUTIVE lattices
*BOOLEAN algebra
*SET theory
*ALGEBRAIC logic
*MATHEMATICAL analysis
Language
ISSN
0129-2021
Abstract
The properties of the set D of dense elements of an ADL is studied. The filter congruence θD generated by D in *-ADLs are characterized. *-ADLs are characterized in terms of dense elements. A necessary and sufficient condition for a *-ADLs to become a Boolean algebra is established. [ABSTRACT FROM AUTHOR]