论强无相干环和强无非ether环

IF 0.7 4区数学 Q2 MATHEMATICS

Bulletin of The Iranian Mathematical Society Pub Date : 2024-03-10 DOI:10.1007/s41980-023-00856-7

Khaled Alhazmy, Fuad Ali Ahmed Almahdi, Younes El Haddaoui, Najib Mahdou

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引用次数: 0

摘要

本文的第一部分介绍并研究了强非零相干环类，它是已经定义并研究过的非零相干环类的一个子类。与每个诺特环都是相干的经典结果相反，非零诺特环不一定是非零相干的。为了弥补这一缺陷，第二部分介绍并研究了强非零诺特环类，它是非零诺特环类的一个子类。我们还列举了一些例子来说明这些结果。

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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On Strongly Nonnil-Coherent Rings and Strongly Nonnil-Noetherian Rings

The first part of this paper introduces and studies the class of strongly nonnil-coherent rings, a subclass of the already defined and studied class of nonnil-coherent rings. Contrary to the classical result that every Noetherian ring is coherent, a nonnil-Noetherian ring need not be nonnil-coherent. To remedy this, the second part introduces and studies the class of strongly nonnil-Noetherian rings, a subclass of the class of nonnil-Noetherian rings. Some examples are also given to illustrate the results.

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来源期刊

Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： The Bulletin of the Iranian Mathematical Society (BIMS) publishes original research papers as well as survey articles on a variety of hot topics from distinguished mathematicians. Research papers presented comprise of innovative contributions while expository survey articles feature important results that appeal to a broad audience. Articles are expected to address active research topics and are required to cite existing (including recent) relevant literature appropriately. Papers are critically reviewed on the basis of quality in its exposition, brevity, potential applications, motivation, value and originality of the results. The BIMS takes a high standard policy against any type plagiarism. The editorial board is devoted to solicit expert referees for a fast and unbiased review process.