Generalized derivations over amalgamated algebras along an ideal

IF 0.8 4区数学 Q2 MATHEMATICS Georgian Mathematical Journal Pub Date : 2024-01-01 DOI:10.1515/gmj-2023-2108

Brahim Boudine, Mohammed Zerra

引用次数: 0

Abstract

Let A and B be two associative rings, let I be an ideal of B and let f ∈ Hom ⁢ ( A , B )

{f\in\mathrm{Hom}(A,B)}

. In this paper, we give a complete description of generalized derivations over A ⋈ f I

{A\bowtie^{f}I}

. Furthermore, when A is prime or semi-prime, we give several identities on generalized derivations which provide the commutativity of A ⋈ f I

{A\bowtie^{f}I}

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沿理想的混杂代数上的广义推导

让 A 和 B 是两个关联环，让 I 是 B 的一个理想，让 f ∈ Hom ( A , B ) {f\inmathrm{Hom}(A,B)} 。在本文中，我们将完整地描述 A ⋈ f I {A\bowtie^{f}I} 上的广义推导。此外，当 A 是质数或半质数时，我们给出了关于广义推导的几个同素异形，这些同素异形提供了 A ⋈ f I {A\bowtie^{f}I} 的交换性。

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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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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