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

共 50 条

[41] Jordan left derivations in infinite matrix rings
Zhang, Daochang
Ma, Leiming
Hu, Jianping
Sun, Chaochao
DEMONSTRATIO MATHEMATICA, 2024, 57 (01)
[42] On left Jordan derivations of rings and Banach algebras
Joso Vukman
Aequationes mathematicae, 2008, 75 : 260 - 266
[43] Commuting Jordan Derivations on Triangular Rings Are Zero
Hosseini, Amin
Jing, Wu
MATHEMATICAL NOTES, 2024, 115 (5-6) : 1006 - 1016
[44] Jordan derivations of prime rings with characteristic two
Lee, Tsiu-Kwen
Lin, Jheng-Huei
LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 462 : 1 - 15
[45] Jordan Derivations of Special Subrings of Matrix Rings
Sayin, Umut
Kuzucuoglu, Feride
ALGEBRA COLLOQUIUM, 2019, 26 (01) : 83 - 92
[46] A Note on Generalized Jordan *-Derivations on Prime *-Rings
Khan, Abdul Nadim
Dar, Nadeem Ahmad
Abbasi, Adnan
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (02) : 403 - 414
[47] JORDAN TRIPLE (α, ß)*-DERIVATIONS ON SEMIPRIME RINGS WITH INVOLUTION
Rehman, Nadeem Ur
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2013, 42 (06): : 641 - 651
[48] LIE AND JORDAN STRUCTURE IN PRIME RINGS WITH DERIVATIONS
AWTAR, R
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 41 (01) : 67 - 74
[49] Jordan Derivations on Strictly Triangular Matrix Rings
Kuzucuoglu, Feride
ALGEBRA COLLOQUIUM, 2011, 18 (03) : 519 - 522
[50] On the structure of generalized Jordan *-derivations of prime rings
Dar, Nadeem Ahmad
Ali, Shakir
COMMUNICATIONS IN ALGEBRA, 2021, 49 (04) : 1422 - 1430

← 1 2 3 4 5 →