multiplier in bl-algebras

in this paper, we introduce the notion of multiplier in -algebra and study relationships between multipliers and some special mappings, likeness closure operators, homomorphisms and ( -derivations in -algebras. we introduce the concept of idempotent multipliers in bl-algebra and weak congruence and obtain an interconnection between idempotent multipliers and weak congruences. also, we introduce the special multiplier and study some properties. finally, we show that if  is a boolean algebra, then the set of all multipliers of  is a -algebra under some conditions.