HIGHER LEFT DERIVATIONS ON SEMIPRIME RINGS

被引：0

作者：

Park, Kyoo-Hong ^{[1
]}

机构：

[1] Seowon Univ, Dept Math Educ, Cheongju 361742, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2010年 / 17卷 / 04期

关键词：

higher left derivations; semiprime rings; center;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we extend the Bregar and Vukman's result [1, Proposition 1.6], which is well-known, to higher left derivations as follows: let R be a ring. (i) Under a certain condition, the existence of a nonzero higher left derivation implies that R is commutative. (ii) if R is semiprime, every higher left derivation on R is a higher derivation which maps R into its center.

引用

页码：355 / 362

页数：8

共 50 条

[41] Semiprime Near-Rings with Derivations
Jin, Xiaocan
PROCEEDINGS OF 2008 INTERNATIONAL PRE-OLYMPIC CONGRESS ON COMPUTER SCIENCE, VOL I: COMPUTER SCIENCE AND ENGINEERING, 2008, : 107 - 110
[42] On certain subgroups of semiprime rings with derivations
Wong, TL
COMMUNICATIONS IN ALGEBRA, 2004, 32 (05) : 1961 - 1968
[43] A note on generalized derivations of semiprime rings
Vukman, Joso
TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (02): : 367 - 370
[44] Generalized reverse derivations on semiprime rings
A. Aboubakr
S. González
Siberian Mathematical Journal, 2015, 56 : 199 - 205
[45] IDENTITIES WITH GENERALIZED DERIVATIONS IN SEMIPRIME RINGS
Dhara, Basudeb
Ali, Shakir
Pattanayak, Atanu
DEMONSTRATIO MATHEMATICA, 2013, 46 (03) : 453 - 460
[46] ON GENERALIZED DERIVATIONS OF PRIME AND SEMIPRIME RINGS
Huang, Shuliang
TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (02): : 771 - 776
[47] Generalized derivations in prime and semiprime rings
Huang, Shuliang
Rehman, Nadeem ur
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2016, 34 (02): : 29 - 34
[48] GENERALIZED JORDAN DERIVATIONS ON SEMIPRIME RINGS
Ferreira, Bruno L. M.
Ferreira, Ruth N.
Guzzo, Henrique, Jr.
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 109 (01) : 36 - 43
[49] On semiprime rings with multiplicative (generalized)-derivations
Khan S.
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2016, 57 (1): : 119 - 128
[50] Derivations on multilinear polynomials in semiprime rings
De Filippis, V
Di Vincenzo, OM
COMMUNICATIONS IN ALGEBRA, 1999, 27 (12) : 5975 - 5983

← 1 2 3 4 5 →