Homomorphism and anti homomorphism of cubic ideals of near-rings

Chinnadurai, V.

doi:10.30948/afmi.2017.13.4.519

Cited by 2 publications

(2 citation statements)

References 5 publications

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“…Manikandan [15] discussed the idea of fuzzy bi-ideal of near-rings. In [2], the idea of fuzzy bi-ideals of near-subtraction semigroups was presented by Chinnadurai et al and some of their characterizations were also discussed.…”

Section: Introductionmentioning

confidence: 99%

Hybrid bi-ideals in near-subtraction semigroups

Meenakshi1,

Muhiuddin,

Al-kadi

et al. 2024

Hacettepe Journal of Mathematics and Statistics

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The fuzzy set is an excellent solution for dealing with ambiguity and for expressing people’s hesitation in regular life. Soft set theory is an innovative method for solving practical issues. This is useful in resolving a number of problems, and a lot of progress is being made at the moment. In order to develop hybrid structures, Jun et al. fused the fuzzy and soft sets. In this paper, the notion of hybrid bi-ideals in near-subtraction semigroups is proposed and their associated results are discussed. The notion of hybrid intersections is examined. Furthermore, we establish some results related to the homomorphic image and preimage of a hybrid bi-ideal in near-subtraction semigroups.

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Section: Introductionmentioning

confidence: 99%

Hybrid bi-ideals in near-subtraction semigroups

Meenakshi1,

Muhiuddin,

Al-kadi

et al. 2024

Hacettepe Journal of Mathematics and Statistics

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“…Thillaigovindan et al [17] worked on interval valued fuzzy ideals of near-rings. Chinnadurai et al [2,3] discussed cubic ideals of Γ -near rings and homomorphism and anti-homomorphism of cubic ideals of near-rings. Kahraman and Gundogdu [13] introduced spherical fuzzy sets as an extension of picture fuzzy sets.…”

Section: Introductionmentioning

confidence: 99%

Homomorphism and Anti-Homomorphism of Spherical Cubic Bi-Ideals of Gamma Near-Rings

Chinnadurai¹,

Shakila²

2022

SEAJMMS

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The purpose of the article is to study about homomorphism and anti- homomorphism of spherical cubic bi-ideals of Gamma near-rings R1 and R2. If φ : R1 −→ R2 be a gamma homomorphism and (C U s1 , R1), (C U s2 , R2) are spher- ical cubic bi-ideals of gamma near-rings R1 and R2.Then the image (φ(C U s1 ), R2) and pre-image (φ−1(C U s ), R1) are also spherical cubic bi-ideals of gamma near- rings R2 and R1. If φ : R1 −→ R2 be an epimorphism of gamma near-rings R1 and R2 and (C U s , R2) is a SCS of R2 such that (φ−1(C U s ), R1) is a SCBI of 2 2 R1, then (C U s2 , R2) is a SCBI of R2.

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Homomorphism and anti homomorphism of cubic ideals of near-rings

Cited by 2 publications

References 5 publications

Hybrid bi-ideals in near-subtraction semigroups

Hybrid bi-ideals in near-subtraction semigroups

Homomorphism and Anti-Homomorphism of Spherical Cubic Bi-Ideals of Gamma Near-Rings

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