商环上的一些恒等式

IF 0.4 Q4 MATHEMATICS

Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI:10.5269/bspm.62481

Mouhamadi El Hamdaoui, A. Boua, G. Sandhu

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引用次数: 0

摘要

设R是结合环，P是R的素理想：在本文中，我们研究了环R=P的结构，并描述了满足R上某些代数恒等式的广义导子的可能形式：作为我们定理的结果，我们首先研究了素环的强交换保持广义导子，然后考察在素环中充当（反）同态的广义导子。半素环中也给出了一些交换性定理。

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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Some identities in quotient rings

Let R be an associative ring, P a prime ideal of R: In this paper, we study the structure of the ring R=P and describe the possible forms of the generalized derivations satisfying certain algebraic identities on R: As a consequence of our theorems, we first investigate strong commutativity preserving generalized derivations of prime rings, and then examine the generalized derivations acting as (anti)homomorphisms in prime rings. Some commutativity theorems also given in semi-prime rings.

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来源期刊

Boletim Sociedade Paranaense de Matematica MATHEMATICS-

CiteScore

1.40

自引率

0.00%

发文量

140

审稿时长

25 weeks