SEMI-PRIME CLOSURE OPERATIONS ON BCK-ALGEBRA
نویسندگان
چکیده
منابع مشابه
Dual Bck - Algebra and Mv - Algebra
The aim of this paper is to study the properties of dual BCK-algebra and to prove that the MV -algebra is equvalent to the bounded commutative dual BCK-algebra.
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We consider the intuitionistic fuzzification of the concept of prime ideals in commutative BCK-algebras, and investigate some of their properties. We show that if P is a prime ideal of commutative BCK-algebra X iff ∼ P = 〈XP , − XP 〉 is an intuitionistic fuzzy prime ideal of X. We also prove that An IFS A = 〈μA, λA〉 of commutative BCK-algebra X is an intuitionistic fuzzy prime ideal of X if and...
متن کاملFuzzy Filter Spectrum of a BCK Algebra
The notion of fuzzy s-prime filters of a bounded BCK-algebra is introduced.We discuss the relation between fuzzy s-prime filters and fuzzy prime filters. By the fuzzy s-prime filters of a bounded commutative BCK-algebra X, we establish a fuzzy topological structure on X. We prove that the set of all fuzzy s-prime filters of a bounded commutative BCK-algebra forms a topological space. Moreover, ...
متن کاملSOME QUOTIENTS ON A BCK-ALGEBRA GENERATED BY A FUZZY SET
First we show that the cosets of a fuzzy ideal μ in a BCK-algebraX form another BCK-algebra X/μ (called the fuzzy quotient BCK-algebra of X by μ). Also we show thatX/μ is a fuzzy partition of X and we prove several some isomorphism theorems. Moreover we prove that if the associated fuzzy similarity relation of a fuzzy partition P of a commutative BCK-algebra iscompatible, then P is a fuzzy quo...
متن کاملOn Commutative Algebra Homology in Prime Characteristics
We give decompositions of the Hochschild and cyclic homology of a com-mutative algebra in characteristic p into p?1 parts, and show these decom-positions are compatible with the shuue product structures. We also give a counterexample to a conjecture attributed to Barr, which asserts that a modiied version of Harrison cohomology coincides with Andr e/Quillen cohomology.
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ژورنال
عنوان ژورنال: Communications of the Korean Mathematical Society
سال: 2015
ISSN: 1225-1763
DOI: 10.4134/ckms.2015.30.4.385