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.