Γ-半环的三拟理想

Q4 Mathematics

Discussiones Mathematicae - General Algebra and Applications Pub Date : 2021-04-06 DOI:10.7151/dmgaa.1360

M. M. Rao

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引用次数: 1

摘要

摘要作为理想的进一步推广，我们引入了三拟理想的概念，作为Γ-半环的理想、左理想、右理想、双理想、拟理想、内理想、双内理想、弱内理想、二拟理想、三理想、拟内理想和双拟内理想的推广。利用三拟理想给出了Γ-半环、正则Γ-环和简单Γ-半环的一些性质，并研究了Γ半环的三拟理想的性质。

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Tri-Quasi Ideals of Γ-Semirings

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.

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来源期刊

Discussiones Mathematicae - General Algebra and Applications Mathematics-Algebra and Number Theory

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

26 weeks