Study of Convex Sublattices of a Lattice by a New Approach
Keywords:Convex sublattices, Standard element, Neutral element, Congruence.
The set of all convex sublattices CS(L) of a lattice L have been studied by a new approach. Introducing a new partial ordering relation "≤" it is shown that CS(L) is a lattice. Moreover L and CS(L) are in the same equational class. A number of properties of (CS(L); ≤) has also been included.
Keywords: Convex sublattices; Standard element; Neutral element; Congruence.
© 2009 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.
DOI: 10.3329/jsr.v1i3.2484 J. Sci. Res. 1 (3), 558-562 (2009)
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