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Epimorphic Image of P-Ideals of P-Algebras

Corresponding Author : M.R. Talukder (r.talukder-mat@sust.edu)

Authors : C. Nag , S.N. Begum , M.R. Talukder

Keywords : Lattices, 0-distributive lattice, pseudocomplemented lattice, ideal, filter, homomorphisms

Abstract :

In this paper, we study p-ideals of a p-algebra. We prove that epimorphic image of a p-ideal is a p-ideal. Our main result is that the lattice of p-ideals of a p-algebra L is isomorphic to the lattice of ideals of the Boolean algebra formed by the closed elements of L.

Published on June 30th, 2020 in Volume 30, Issue 1, Physical Sciences