RESULTS OF 3-DERIVATIONS AND COMMUTATIVITY FOR PRIME RINGS WITH INVOLUTION INVOLVING SYMMETRIC AND SKEW SYMMETRIC COMPONENTS

被引：0

作者：

Aharssi, Hanane ^{[1
]}

Charrabi, Kamal ^{[1
]}

Mamouni, Abdellah ^{[1
]}

机构：

[1] Moulay Ismail Univ, Dept Math, Meknes, Morocco

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 39卷 / 01期

关键词：

Prime ring; involution; commutativity; generalized derivation; symmetric elements; skew symmetric elements; DERIVATIONS; MAPPINGS;

D O I：

10.4134/CKMS.c230128

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article examines the connection between 3-derivations and the commutativity of a prime ring R with an involution * that fulfills particular algebraic identities for symmetric and skew symmetric elements. In practice, certain well-known problems, such as the Herstein problem, have been studied in the setting of three derivations in involuted rings.

引用

页码：79 / 91

页数：13

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