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
收藏
页码：717 / 723
页数：7
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