Multiplier in BL-algebras

Document Type: Regular Paper


1 Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran

2 Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran


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.