Title of article :
WEAKLY PRIME AND SUPER-MAX FILTERS IN BL-ALGEBRAS
Author/Authors :
Moghaderi ، Javad Department of Mathematics - University of Hormozgan , Motamed ، Somayeh Department of Mathematics - Islamic Azad University, Bandar Abbas Branch
Abstract :
In this paper, the concepts of weakly prime filters and super-max filters in BL-algebras are introduced, and the relationships between them are discussed. Also, some properties and relations between these filters and other types of filters in BL-algebras are given. With some examples, it is shown that these filters have differences. After that, the notions of weakly linear BL- algebras and weak top BL-algebras are defined and investigated. Finally, using the notion of a weakly prime filter, a new topology on BL-algebras is defined and studied.
Keywords :
prime filter , maximal filter , Super , max filter , Weakly Prime filter , Weak Top BL , algebra
Journal title :
Journal of Algebraic Systems
Journal title :
Journal of Algebraic Systems
