• ON CERTAIN KINDS OF CHARACTERIZATIONS OF ALMOST PRIMARY IDEALS IN BOOLEAN LIKE SEMI RINGS

Abstract

In this paper we introduce the notion of weekly primary ideals and almost primary ideals in a Boolean like semi-ring and obtain various properties of these ideals. Some characterizations have been given for almost primary ideals in terms of semi prime ideals, 2-potent prime ideals and radical of ideals. Finally we established that an ideal I of a Boolean like semi ring R is almost primary if and only if I⁄I^2 is a weakly primary ideal of R/I.