Authors:
R. M. Hafizur Rahman,DOI NO:
https://doi.org/10.26782/jmcms.2019.08.00006Keywords:
α -ideals,0-distributive lattice,separation theorem,quasicomplemented lattice,Abstract
In this paper we have studied the α -ideals in a 0-distributive lattice. We have described the α -ideals by two definition and proved that these are equivalent. We have given several characterizations. They have proved that a lattice L is disjunctive if and only if each ideal is an α -ideals. We have also included a prime separation theorem for α -ideals. At the end we have studied the α -ideals in a sectionally quasi-complemented lattice.Refference:
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