Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

IF 1 4区数学 Q1 MATHEMATICS

Open Mathematics Pub Date : 2024-03-25 DOI:10.1515/math-2023-0180

Martin Rachev, Ivan Trendafilov

引用次数: 0

Abstract

The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation. In most results related to rings and semirings, Birkenmeier’s semicentral idempotents play a crucial role. This article is intended for PhD students, postdocs, and researchers.

查看原文本刊更多论文

阿米曲尔定理、半中心幂等式和可加幂等式半圆

文章探讨了类似于阿米曲尔定理的研究成果，该定理断言矩阵环内的任何导数都可以表示为内导数与遗传导数之和。在与环和半环有关的大多数结果中，伯肯迈尔的半中心幂函数都起着至关重要的作用。本文面向博士生、博士后和研究人员。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Open Mathematics MATHEMATICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

16 weeks

期刊介绍： Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes: