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 in | Discussiones mathematicae. General algebra and applications Vol. 41; no. 1; pp. 33 - 44 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Sciendo
01.05.2021
University of Zielona Góra |
Subjects | |
Online Access | Get full text |
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Summary: | 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. |
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ISSN: | 1509-9415 2084-0373 |
DOI: | 10.7151/dmgaa.1360 |