• A STRUCTURE OF SEMI MODULE OVER A BOOLEAN LIKE SEMI RING

Abstract

In this paper, the concepts invariant R- sub groups of R and semi module over a Boolean like semi ring R are introduced and also study some of its properties. Further if R is weak commutative Boolean like semi ring and P is an R- sub module of M then (P: M) is invariant R- sub group of R.  Also annihilator of a sub set P of M in R is a right ideal of R and if P is an R- sub module of M then Ann (P) is an ideal of R are proved.