Tri-Quasi Ideals of Γ-Semirings

In this paper, as a further generalization of ideals, we introduce the notion of tri-quasi ideal as a generalization of ideal, left ideal, right ideal, bi-ideal, quasi ideal, interior ideal, bi-interior ideal,weak interior ideal, bi-quasi ideal, tri-ideal,quasi-interior ideal and bi-quasi-interior i...

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Published inDiscussiones mathematicae. General algebra and applications Vol. 41; no. 1; pp. 33 - 44
Main Author Rao, Marapureddy Murali Krishna
Format Journal Article
LanguageEnglish
Published Sciendo 01.05.2021
University of Zielona Góra
Subjects
06Y99
16Y60
bi-ideal
bi-interior ideal
bi-quasi ideal
bi-quasi-interior ideal
interior ideal
quasi ideal
regular Γ-semiring
tri-quasi simple Γ-semiring
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Abstract In this paper, as a further generalization of ideals, we introduce the notion of tri-quasi ideal as a generalization of ideal, left ideal, right ideal, bi-ideal, quasi ideal, interior ideal, bi-interior ideal,weak interior ideal, bi-quasi ideal, tri-ideal,quasi-interior ideal and bi-quasi-interior ideal of Γ-semiring. Some charecterizations of Γ-semiring,regular Γ-semiring and simple Γ-semiring using tri-quasi ideals are given and study the properties of tri-quasi ideals of Γ-semiring.
AbstractList In this paper, as a further generalization of ideals, we introduce the notion of tri-quasi ideal as a generalization of ideal, left ideal, right ideal, bi-ideal, quasi ideal, interior ideal, bi-interior ideal,weak interior ideal, bi-quasi ideal, tri-ideal,quasi-interior ideal and bi-quasi-interior ideal of Γ-semiring. Some charecterizations of Γ-semiring,regular Γ-semiring and simple Γ-semiring using tri-quasi ideals are given and study the properties of tri-quasi ideals of Γ-semiring.
Abstract only
Author Rao, Marapureddy Murali Krishna
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  organization: Department of Mathematics, GIT, GITAM University, Visakhapatnam- 530 045, A.P., India
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Snippet In this paper, as a further generalization of ideals, we introduce the notion of tri-quasi ideal as a generalization of ideal, left ideal, right ideal,...
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SubjectTerms 06Y99
16Y60
bi-ideal
bi-interior ideal
bi-quasi ideal
bi-quasi-interior ideal
interior ideal
quasi ideal
regular Γ-semiring
tri-quasi simple Γ-semiring
Title Tri-Quasi Ideals of Γ-Semirings
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