Results on Various Derivations and Posner's Theorem in Prime Ideals of Rings

被引：3

作者：

Boua, Abdelkarim ^{[1
]}

Sandhu, Gurninder Singh ^{[2
]}

机构：

[1] Sidi Mohammed Ben Abdellah Univ Fez LSI, Polydisciplinary Fac, Taza, Morocco

[2] Patel Mem Natl Coll, Dept Math, Rajpura, India

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷

关键词：

Multiplicative generalized (; )-derivation; SCP map; prime ring; commutativity; PRESERVING GENERALIZED DERIVATIONS; COMMUTATIVITY; BETA)-DERIVATIONS; MAPPINGS; (ALPHA; MAPS;

D O I：

10.5269/bspm.62478

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a ring and P be a prime ideal of R. In this work, we study the structure of the quotient ring R/P in a new and more general way by discussing various algebraic identities on appropriate subsets of R involving multiplicative (generalized)-(alpha, Q)-derivations, multiplicative generalized (alpha, Q)-derivations, mul-tiplicative generalized derivations and generalized derivations. In addition, we give examples exhibiting the crucially of the hypothesis of our results.

引用

页码：19 / 19

页数：1

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