On derivations involving prime ideals and commutativity in rings

被引：0

作者：

A. Mamouni

L. Oukhtite

M. Zerra

机构：

[1] University Moulay Ismaïl,Department of Mathematics, Faculty of Science and Technology

[2] University Sidi Mohamed Ben Abdellah,Department of Mathematics, Faculty of Science and Technology

来源：

São Paulo Journal of Mathematical Sciences | 2020年 / 14卷

关键词：

Prime ideal; Commutativity; Derivation; 16N60; 16W10; 16W25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The principal aim of this paper is to study the structure of quotient rings R/P where R is an arbitrary ring and P is a prime ideal of R. Especially, we will establish a relationship between the structure of this class of rings and the behaviour of derivations satisfying algebraic identities involving prime ideals. Some well-known results characterizing commutativity of (semi)-prime rings have been generalized.

引用

页码：675 / 688

页数：13

共 26 条

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