DERIVATIONS INVOLVING CENTRALIZERS

被引：0

作者：

Ullah, Zafar ^{[1
]}

Javaid, Imran ^{[1
]}

Chaudhry, Muhammad Anwar ^{[1
]}

机构：

[1] Bahauddin Zakariya Univ Multan, Ctr Adv Studies Pure & Appl Math, Multan, Pakistan

来源：

UTILITAS MATHEMATICA | 2013年 / 90卷

关键词：

semiprime ring; centralizers; alpha-centralizer; derivation; generalized derivation; generalized; (alpha; beta)-; GENERALIZED DERIVATIONS; JORDAN DERIVATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a 2-torsion free semiprime ring, D : R -> R be a derivation and alpha, beta are surjective centralizers on R. In this paper, we show that if [[D(x), alpha(x)], beta(x)] = 0 and D(beta(x)) = beta(D(x)) for all x is an element of R, then D is commuting on R.

引用

页码：383 / 392

页数：10

共 50 条

[1] ON THE CENTRALIZERS OF DERIVATIONS WITH ENGEL CONDITIONS
Liu, Cheng-Kai
Shiue, Wen-Kwei
COMMUNICATIONS IN ALGEBRA, 2013, 41 (05) : 1636 - 1646
[2] Centralizers and Jordan triple derivations of semiprime rings
Lee, Tsiu-Kwen
Truong Cong Quynh
COMMUNICATIONS IN ALGEBRA, 2019, 47 (01) : 236 - 251
[3] On Generalized Derivations and Centralizers of Operator Algebras with Involution
Ali, S.
Fosner, A.
Jing, W.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2018, 53 (01): : 27 - 33
[4] VANISHING DERIVATIONS AND CENTRALIZERS OF GENERALIZED DERIVATIONS ON MULTILINEAR POLYNOMIALS
De Filippis, Vincenzo
Di Vincenzo, Onofrio Mario
COMMUNICATIONS IN ALGEBRA, 2012, 40 (06) : 1918 - 1932
[5] Identities related to derivations and centralizers on standard operator algebras
Vukman, Joso
TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (01): : 255 - 265
[6] More on the Generalized (m,n)-Jordan Derivations and Centralizers on Certain Semiprime Rings
Driss Bennis
Basudeb Dhara
Brahim Fahid
Bulletin of the Iranian Mathematical Society, 2021, 47 : 217 - 224
[7] More on the Generalized (m,n)-Jordan Derivations and Centralizers on Certain Semiprime Rings
Bennis, Driss
Dhara, Basudeb
Fahid, Brahim
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (01) : 217 - 224
[8] Some identities involving generalized (α, β)-derivations in prime and semiprime rings
Bera, Manami
Dhara, Basudeb
Kar, Sukhendu
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (04)
[9] Vanishing Derivations on Some Subsets in Prime Rings Involving Generalized Derivations
Dhara, Basudeb
De Filippis, Vincenzo
Bera, Manami
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (04) : 2693 - 2714
[10] CHARACTERIZATIONS OF CENTRALIZERS AND DERIVATIONS ON SOME ALGEBRAS
He, Jun
Li, Jiankui
Qian, Wenhua
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (02) : 685 - 696

← 1 2 3 4 5 →