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Issue:An investigation of group action on intuitionistic fuzzy primary and semiprimary ideals of Γ-ring

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Title of paper: An investigation of group action on intuitionistic fuzzy primary and semiprimary ideals of Γ-ring
Author(s):
Poonam Kumar Sharma     0000-0001-5463-8665
Post-Graduate Department of Mathematics, D. A. V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 3, pages 358–371
DOI: https://doi.org/10.7546/nifs.2025.31.3.358-371
Download:  PDF (277  Kb, File info)
Abstract: This article is a continuation of the author’s earlier work [11]. Here we extend the study of group actions on intuitionistic fuzzy structures by focusing on intuitionistic fuzzy primary and semiprimary ideals of Γ-rings. We introduce and characterize intuitionistic fuzzy G-primary and G-semiprimary ideals, establishing their relationships with G-invariant intuitionistic fuzzy ideals. Several structural properties and related results are investigated to deepen the understanding of these generalized ideals under group actions. Furthermore, we explore the behavior of intuitionistic fuzzy G-primary and G-semiprimary ideals under G-homomorphisms, specifically analyzing their image and pre-image. These results contribute to the ongoing development of intuitionistic fuzzy algebraic structures in the context of Γ-rings.
Keywords: Intuitionistic fuzzy primary (semiprimary) ideals, Intuitionistic fuzzy G-primary (G-semiprimary) ideals, Radical of an intuitionistic fuzzy G-ideal, G-homomorphism.
AMS Classification: 03E72, 03F55, 13A50, 16N40, 16N60, 16W25.
References:
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