Soft Γ-Semirings

Bektaș, Özcan; Bayrak, Nurten Gülsüm; Ersoy, Bayram Ali̇

doi:10.48550/arxiv.1202.1496

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2012

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“…In 2011, Dutta, Sardar and Goswami [4] introduced different types of operations on fuzzy ideals of Γ-semirings and proved subsequently that these operations give rise to different structures such as complete lattice, modular lattice on some restricted class of fuzzy ideals of Γ-semirings. In 2012, Bektaş, Bayrak and Ersoy [2] introduced and studied the characterization of soft Γ-semirings and soft sub-Γ-semiring.…”

Section: Introductionmentioning

confidence: 99%

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

Chomchuen,

Iampan

2012

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The notion of Γ-semirings was introduced by Murali Krishna Rao [10] 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 [7], 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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Section: Introductionmentioning

confidence: 99%