Document Type: Regular Paper
Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran
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.