A note on generalized derivations of semiprime rings

被引：37

作者：

Vukman, Joso ^{[1
]}

机构：

[1] Univ Maribor, Dept Math, PEF, SLO-2000 Maribor, Slovenia

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2007年 / 11卷 / 02期

关键词：

prime ring; semiprime ring; derivation; Jordan derivation; Jordan triple derivation; left (right) centralizer; left (right) Jordan centralizer; generalized derivation; generalized Jordan derivation; generalized Jordan triple derivation; JORDAN DERIVATIONS; PRIME-RINGS;

D O I：

10.11650/twjm/1500404694

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove that generalized Jordan derivations and generalized Jordan triple derivation of 2-torsion free semiprime rings are generalized derivations.

引用

页码：367 / 370

页数：4

共 13 条

[1] JORDAN MAPPINGS OF SEMIPRIME RINGS
BRESAR, M
[J]. JOURNAL OF ALGEBRA, 1989, 127 (01) : 218 - 228
[2] BRESAR M, 1988, P AM MATH SOC, V104, P1003
[3] ON THE DISTANCE OF THE COMPOSITION OF 2 DERIVATIONS TO THE GENERALIZED DERIVATIONS
BRESAR, M
[J]. GLASGOW MATHEMATICAL JOURNAL, 1991, 33 : 89 - 93
[4] JORDAN DERIVATIONS ON PRIME-RINGS
BRESAR, M
VUKMAN, J
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1988, 37 (03) : 321 - 322
[5] JORDAN DERIVATIONS ON RINGS
CUSACK, JM
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 53 (02) : 321 - 324
[6] Herstein IN, 1957, Proc. Amer. Math. Soc., V8, P1104, DOI [10.2307/2032688, 10.1090/S0002-9939-1957-0095864-2, DOI 10.1090/S0002-9939-1957-0095864-2]
[7] Generalized Jordan derivations on prime rings and standard operator algebras
Jing, W
Lu, SJ
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2003, 7 (04): : 605 - 613
[8] MOLNAR L, 1995, PUBL MATH-DEBRECEN, V46, P89
[9] Vukman J., 1999, Comment. Math. Univ. Carolin., V40, P447
[10] Vukman J., 2003, GLAS MAT, V38, P253

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