Distributive Join – Semi Lattice

admin May 16, 2015

Authors:

Shiuly Akhter ,A.S.A. Noor ,

DOI NO:

https://doi.org/10.26782/jmcms.2013.01.00004

Keywords:

ideals,join-semilattice,1-distributive lattice ,dual annihilator,

Abstract

In this paper, we have studied some properties of ideals and filters of a join-semilattice. We have also introduced the notion of dual annihilator. We have discussed 1-distributive join-semilattice and given several characterizations of 1-distributive join-semilattices directed below. Finally we have included a generalization of prime separation theorem in terms of dual annihilators.

Refference:

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M. Abdullah Ansary , Md. Ismail Hossain View Download