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
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.
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页码:717 / 723
页数:7
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