@article { author = {Tayebi Khorami, R. and Borumand Saeid, A.}, title = {Multiplier in BL-algebras}, journal = {Iranian Journal of Science}, volume = {38}, number = {2}, pages = {95-103}, year = {2014}, publisher = {Springer}, issn = {2731-8095}, eissn = {2731-8109}, doi = {10.22099/ijsts.2014.1989}, abstract = {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.}, keywords = {BL−algebra,MV−algebra,MV-center,multiplier,closure operator,Godel algebra}, url = {https://ijsts.shirazu.ac.ir/article_1989.html}, eprint = {https://ijsts.shirazu.ac.ir/article_1989_67f451d09cf0a377be536683ffb807ac.pdf} }