Study of Convex Sublattices of a Lattice by a New Approach

Authors

  • R. M. H Rahman Dinajpur Govt College

DOI:

https://doi.org/10.3329/jsr.v1i3.2484

Keywords:

Convex sublattices, Standard element, Neutral element, Congruence.

Abstract

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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Author Biography

R. M. H Rahman, Dinajpur Govt College

Associate Professor, Department of Mathematics

Dinajpur Govt. College, Dinajpur

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Published

2009-08-29

How to Cite

Rahman, R. M. H. (2009). Study of Convex Sublattices of a Lattice by a New Approach. Journal of Scientific Research, 1(3), 558–562. https://doi.org/10.3329/jsr.v1i3.2484

Issue

Section

Section A: Physical and Mathematical Sciences