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On Properties of Generalized Bi-Γ-Ideals of Γ-Semirings

2012/12/17 by Teerayut Chomchuen, Chomchuen, Teerayut, Aiyared Iampan +1
Computer Science · Decision Sciences · #16Y30 #16Y99 #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy Logic and Control Systems #Fuzzy and Soft Set Theory #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1212.3949

openalex publication_date 2012/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The notion of Γ-semirings was introduced by Murali Krishna Rao \citeRao as a generalization of the notion of Γ-rings as well as of semirings. We have known that the notion of Γ-semirings is a generalization of the notion of semirings. In this paper, extending Kaushik, Moin and Khan's work, we generalize the notion of generalized bi-Γ-ideals of Γ-semirings and investigate some related properties of generalized bi-Γ-ideals.

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