与列理想和巴拿赫代数上的广义推导的同一性

IF 0.8 4区数学 Q2 MATHEMATICS Georgian Mathematical Journal Pub Date : 2023-12-12 DOI:10.1515/gmj-2023-2101

Abderrahman Hermas, Lahcen Oukhtite

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引用次数: 0

摘要

设 𝑅 是素环，𝐿 是 𝑅 的非中心列理想。在本文中，我们的目标是对𝑅 的广义派生进行分类，这些派生满足𝐿 上一些具有幂值的代数等式。此外，我们还在质巴纳赫代数的两个非虚空开子集上局部研究了相同的等价性。

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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Identities with generalized derivations on Lie ideals and Banach algebras

Let 𝑅 be a prime ring and 𝐿 a non-central Lie ideal of 𝑅. In this paper, we aim to classify the generalized derivations of 𝑅 satisfying some algebraic identities with power values on 𝐿. Moreover, the same identities are studied locally on a two nonvoid open subsets of a prime Banach algebra.

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来源期刊

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.

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