Ideal theory in commutative Γ - semirings

IF 0.5 2区数学 Q3 MATHEMATICS

International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI:10.12988/IJA.2021.91527

W. Fakieh, Fatimah A. Alhawiti

引用次数: 0

Abstract

In this paper, we study some results on the ideal theory of commutative Γ− semirings analogues to commutative semirings . In particular, Q-ideals , maximal ideals, primary ideals and radical ideals of commutative Γ− semiring are investigated . Furthermore we make an intensive examination of the notions of maximal ideal and local Γ− semirings. It is shown that the notion of primary ideals in Γ− semirings inherits most of essential properties of primary ideals of commutative semirings. Mathematics Subject Classification: 16Y60, 16Y99

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可交换的理想理论Γ -半环

本文研究了可交换Γ -半环的理想理论与可交换半环的类比。特别研究了可交换Γ -半环的q理想、极大理想、原理想和根理想。进一步，我们对极大理想和局部Γ -半环的概念作了深入的研究。证明了Γ−半环中的初等理想的概念继承了交换半环初等理想的大部分本质性质。数学学科分类:16Y60, 16Y99

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Algebra and Computation 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.