Bi-amalgamations subject to the nil-clean-like conditions

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2026-06-10 DOI:10.1007/s11565-026-00711-7

Loubna Es-Salhi, Mohamed Chhiti

引用次数: 0

Abstract

In this paper we introduce new classes of rings namely \(S_{1,n}\) nil-clean (resp., \(S_{n,2}\) nil-clean and \(S_{\sum ,2}\) nil-clean) rings, and \(SI^n\) rings as generalizations of nil-clean and boolean rings, respectively. We provide necessary and sufficient conditions for bi-amalgamations to inherit these properties. Our results are supported by illustrative examples arising as bi-amalgamations.

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在类似清洁的条件下进行双汞合并

本文引入了一些新的环类，即\(S_{1,n}\) -clean环。， \(S_{n,2}\) nil-clean和\(S_{\sum ,2}\) nil-clean)环，\(SI^n\)环分别作为nil-clean和Boolean环的推广。我们提供了双合并继承这些属性的充分必要条件。我们的结果是支持说明性的例子产生的双合并。

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

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.