具有中心扩展高阶$$*$$-导数的环

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-03-16 DOI:10.1007/s00006-023-01265-z

O. H. Ezzat

引用次数: 0

摘要

我们研究了中心推广的高导子和中心推广的广义高导子的概念。在没有非零中心理想的\（*\）-环中，两者都是可加的。此外，我们还证明了在没有非零中心理想的半素数\（*\）-环中，每一个中心扩展的（广义）高\（*\）-导数都是（广义）更高\（*）-导数。

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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Rings with Centrally-Extended Higher $*$-Derivations

We study the notions of centrally-extended higher $*$-derivations and centrally-extended generalized higher $*$-derivations. Both are shown to be additive in a $*$-ring without nonzero central ideals. Also, we prove that in semiprime $*$-rings with no nonzero central ideals, every centrally-extended (generalized) higher $*$-derivation is a (generalized) higher $*$-derivation.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.