Jordan derivations of alternative rings

被引：9

作者：

Macedo Ferreira, Bruno Leonardo ^{[1
]}

Guzzo Jr, Henrique ^{[2
]}

Ferreira, Ruth Nascimento ^{[1
]}

Wei, Feng ^{[3
]}

机构：

[1] Fed Technol Univ Parana, Prof Laura Pacheco Bastos Ave 800, BR-85053510 Guarapuava, Brazil

[2] Univ Sao Paulo, Inst Math & Stat, Sao Paulo, Brazil

[3] Beijing Inst Technol, Sch Math & Stat, Beijing, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 02期

关键词：

Alternative ring; Jordan derivation; ALGEBRAS;

D O I：

10.1080/00927872.2019.1659285

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be a unital alternative ring with nontrivial idempotent and be a Jordan derivation. Then is of the form , where d is a derivation of and delta is a singular Jordan derivation of . Moreover, d and delta are uniquely determined. This extends the main result of Benkovic and Sirovnik's to the case of alternative rings.

引用

页码：717 / 723

页数：7

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