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IMI/Publicaţii/BASM/Ediţii/BASM n.1(86), 2018/

Semi-integral filters and semi-integral BL-algebras

Authors: Somayeh Motamed

Abstract

In this paper, we introduced the concepts of semi-integral filters and semi-integral $BL$-algebras. With respect to these concepts, we give some related results. In particular, we give some relations among semi-integral $BL$-algebras, integral $BL$-algebras and local $BL$-algebra. Also, we give some relations among semi-integral filters and other types of filters in $BL$-algebras, such as prime, maximal, primary, perfect, normal, positive implicative and obstinate filters.

Department of Mathematics, Bandar Abbas Branch
Islamic Azad University, Bandar Abbas, Iran
E-mail: ,

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