On quasi-ideals of Γ-semihyperrings

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2019 English Publisher:University of Mohaghegh ArdabiliJournal:Journal of Hyperstructures (issn: 2251-8436,

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Authors: Patil, Jitendrasing Jaysing; Fakira Pawar, Kishor;

doi: 10.22098/jhs.2019.2619

On quasi-ideals of Γ-semihyperrings

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Abstract

The concept of quasi-ideals, minimal quasi-ideals for Γsemihyperrings are introduced. Characterization of quasi-ideals and of minimal quasi-ideals of Γ-semihyperring with the help of ideals of Γ-semihyperrings have been taken into account. It is proved that for a Γ-semihyperring R with zero, one can find a quasi-ideal of R generated by X, where X is any non empty subset of R. Also the notion of quasi-simple Γ-semihyperring is introduced and proved some properties in this respect.

Keywords

QA1-939, minimal quasi-ideal, γ-semihyperring, quasi-simple, quasi-ideal, Mathematics

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