Fuzzy hh-ideals of hemirings

A characterization of an $h$-hemiregular hemiring in terms of a fuzzy $h$-ideal is provided. Some properties of prime fuzzy $h$-ideals of $h$-hemiregular hemirings are investigated. It is proved that a fuzzy subset $\zeta$ of a hemiring $S$ is a prime fuzzy left (right) $h$-ideal of $S$ if and only if $\zeta$ is two-valued, $\zeta(0) = 1$, and the set of all $x$ in $S$ such that $\zeta(x) = 1$ is a prime (left) right $h$-ideal of $S$. Finally, the similar properties for maximal fuzzy left (right) $h$-ideals of hemirings are considered

Some results on fuzzy subsets in gamma-nearrings

In this paper, we introduce the notions of bi-ideal, quasi-ideal and residual quotient sets in terms of fuzzy subsets and have studied their related properties. Also, we have characterized residual quotient fuzzy subsets in gamma-nearrings

Interval Valued Fuzzy Ideals of Near-rings and its Anti- homomorphism

Aim of this study is to investigate anti-homomorphic images and pre-images of semiprime and primary ideals in interval valued fuzzy Near-rings. Further some results on f-invariant interval valued fuzzy ideal, f-invariant strongly primary interval valued fuzzy ideal and f-invariant semiprime interval valued fuzzy ideals of Near-rings are discussed

Homomorphism in bipolar q—fuzzy soft γ—Semiring

In this paper, we discuss bipolar Q−fuzzy soft Γ−Semiring concept and bipolar Q−fuzzy soft Γ−Semiring homomorphism. Indeed, properties and theorems related to these notions are stated and proved.Publisher's Versio

Unit graph of type - 2

The unit graph of ring R was introduced in commutative rings by Vasantha Kandasamy[27]. In this short note, we introduce the concept namely “Unit graph of type-2” denoted by UG2(R) in associative rings R and announced a few important fundamental results. In section 3, we prove that the number of edges in the unit graph of type-2 of Zp is p – 3/2. In section 4, we prove that sum of the degrees of the vertices in UG2(R) is equal to (|U(R)|−number of self units). Also we have included some examples.Publisher's Versio

2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings

The aim of this study is to provide a generalization of prime vague Γ-ideals in Γ-rings by introducing non-symmetric 2-absorbing vague weakly complete Γ-ideals of commutative Γ-rings. A novel algebraic structure of a primary vague Γ-ideal of a commutative Γ-ring is presented by 2-absorbing weakly complete primary ideal theory. The approach of non-symmetric 2-absorbing K-vague Γ-ideals of Γ-rings are examined and the relation between a level subset of 2-absorbing vague weakly complete Γ-ideals and 2-absorbing Γ-ideals is given. The image and inverse image of a 2-absorbing vague weakly complete Γ-ideal of a Γ-ring and 2-absorbing K-vague Γ-ideal of a Γ-ring are studied and a 1-1 inclusion-preserving correspondence theorem is given. A vague quotient Γ-ring of R induced by a 2-absorbing vague weakly complete Γ-ideal of a 2-absorbing Γ-ring is characterized, and a diagram is obtained that shows the relationship between these concepts with a 2-absorbing Γ-ideal