Anti-Homomorphism in Fuzzy Ideals
نویسندگان
چکیده
The anti-homomorphic image of fuzzy ideals, fuzzy ideals of near-rings and anti ideals are discussed in this note. A necessary and sufficient condition has been established for near-ring anti ideal to be characteristic. Keywords—Fuzzy Ideals, Anti fuzzy subgroup, Anti fuzzy ideals, Anti homomorphism, Lower α level cut.
منابع مشابه
Interval valued fuzzy weak bi-ideals of $Gamma$-near-rings
In this paper, we introduce the concept of interval valued fuzzy weak bi-ideals of $Gamma$-near-rings, which is a generalized concept of fuzzy weak bi-ideals of $Gamma$- near-rings. We also characterize some properties and examples of interval valued fuzzy weak bi-ideals of $Gamma$-near-rings.
متن کاملOn Fuzzy Ideals in Rings and Anti-homomorphism
We investigate antihomomorphic images and pre images of semiprime, strongly primary, irreducible and strongly irreducible fuzzy ideals of a ring. We also prove that: For a surjective anti-homomorphism f : R → R, if every fuzzy ideal of R is f -invariant and has a fuzzy primary (respectively, strongly primary) decomposition in R, then every fuzzy ideal of R has a fuzzy primary (respectively, str...
متن کاملSome Characterization of Anti Fuzzy PS-ideals of PS- Algebras in Homomorphism and Cartesian Product
In this paper, we introduce the notion of anti fuzzy PS – Subalgebra along with PS-ideal in homomorphism and Cartesian product and discussed some of their properties.
متن کاملFuzzy Closed Ideals of B-Algebras
In this paper, we apply the concept of fuzzy set to ideals and closed ideals in B-algebras. The notion of a fuzzy closed ideal of a B-algebra is introduced, and some related properties are investigated. Also, the product of fuzzy B-algebra is investigated. Keywords—B-algebras, fuzzy sets, fuzzy ideals, homomorphism, fuzzy closed ideals, homomorphism, equivalence relation, level cut, product of ...
متن کاملON ANTI FUZZY IDEALS IN NEAR-RINGS
In this paper, we apply the Biswas’ idea of anti fuzzy subgroups toideals of near-rings. We introduce the notion of anti fuzzy ideals of near-rings,and investigate some related properties.
متن کامل