ON MULTIPLIERS ON BOOLEAN ALGEBRAS

Abstract

In this paper, we introduced the notion of multiplier of Boolean algebras and discuss related properties between multipliers and special mappings, like dual closures, homomorphisms on B. We introduce the notions of fixed set F ixf (X) and normal ideal and obtain interconnection between multipliers and F ixf (B). Also, we introduce the special multiplier αp and study some properties. Finally, we show that if B is a Boolean algebra, then the set of all multipliers of B is also a Boolean algebra.

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