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

B. V. N. Murthy*

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.


Keywords


Boolean like semi ring, Quotient Boolean like semi ring, Semi module, Quotient semi Module.

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