由森田上下文引起的约简环和模

IF 0.5 2区数学 Q3 MATHEMATICS International Journal of Algebra and Computation Pub Date : 2022-01-01 DOI:10.12988/ija.2022.91725

Qingbing Xu, Yang Liu, M. Munir, Kausar Nasreen

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引用次数: 0

摘要

在本文中，我们研究了由Morita上下文M (A, B) = (A, M, N, B， φ， ψ)产生的约简环。研究了减小森田环R的充分必要条件。特别地，对Morita上下文环上的约简模进行了表征。

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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Reduced rings and modules arising from Morita contexts

In this paper, we study the reduced rings arising from Morita context M ( A, B ) = ( A, M, N, B, ϕ, ψ ). Necessary and suﬃcient conditions are investigated for the Morita ring R to be reduced. In particular, the reduced modules over Morita context rings are characterized.

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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.