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ANNIHILATOR IDEALS IN 0-DISTRIBUTIVE LATTICES
Corresponding Author : M.R. Talukder (r.talukder-mat@sust.edu)
Authors : C. Nag
Keywords : 0-distributive lattice, annihilator, ideal, Boolean algebra
Abstract :
In this paper, we generalized some results of annihilator ideals for 0-distributive lattices. We prove that the set of all annihilator ideals of a 0-distributive lattice form a Boolean algebra. We also prove Stone type separation theorem for annihilator ideals of 0-distributive lattices.
Published on December 30th, 2019 in Volume 29, Issue 2, Physical Sciences