Derivations vanishing on commutator identity involving generalized derivation on multilinear polynomials in prime rings

被引：2

作者：

Ashraf, Mohammad ^{[1
]}

De Filippis, Vincenzo ^{[2
]}

Pary, Sajad Ahmad ^{[1
]}

Tiwari, Shailesh Kumar ^{[3
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[2] Univ Messina, Dept Math & Comp Sci, Messina, Italy

[3] Univ Sao Paulo, Inst Ciencias Matemt & Comp, Dept Matemat, Sao Carlos, SP, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 02期

关键词：

Generalized derivation; prime ring; LIE IDEALS; VALUES; MAPS;

D O I：

10.1080/00927872.2018.1498863

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a prime ring of characteristic different from 2 with its Utumi quotient ring U and extended centroid C, , then there exists such that F(x) = cx, for all and one of the following holds: (1) is central valued on R; (2) R satisfies s(4), the standard identity of degree 4.

引用

页码：800 / 813

页数：14

共 50 条

[1] An identity on generalized derivations involving multilinear polynomials in prime rings
Dhara, B.
Garg, C.
Sharma, R. K.
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2019, 129 (03):
[2] An identity on generalized derivations involving multilinear polynomials in prime rings
B Dhara
C Garg
R K Sharma
[J]. Proceedings - Mathematical Sciences, 2019, 129
[3] LEFT ANNIHILATOR OF COMMUTATOR IDENTITY WITH GENERALIZED DERIVATIONS AND MULTILINEAR POLYNOMIALS IN PRIME RINGS
Sharma, R. K.
Dhara, B.
Tiwari, S. K.
[J]. COMMUNICATIONS IN ALGEBRA, 2016, 44 (08) : 3611 - 3621
[4] Commutator identity involving generalized derivations on multilinear polynomials
Dhara B.
Raza M.A.
Rehman N.U.
[J]. ANNALI DELL'UNIVERSITA' DI FERRARA, 2016, 62 (2) : 205 - 216
[5] Derivations Vanishing Identities Involving Generalized Derivations and Multilinear Polynomial in Prime Rings
Tiwari, S. K.
Sharma, R. K.
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (05)
[6] Derivations Vanishing Identities Involving Generalized Derivations and Multilinear Polynomial in Prime Rings
S. K. Tiwari
R. K. Sharma
[J]. Mediterranean Journal of Mathematics, 2017, 14
[7] VANISHING DERIVATIONS AND CO-CENTRALIZING GENERALIZED DERIVATIONS ON MULTILINEAR POLYNOMIALS IN PRIME RINGS
Dhara, Basudeb
Argac, Nurcan
Albas, Emine
[J]. COMMUNICATIONS IN ALGEBRA, 2016, 44 (05) : 1905 - 1923
[8] Cocentralizing and vanishing derivations on multilinear polynomials in prime rings
Vincenzo De Filippis
[J]. Siberian Mathematical Journal, 2009, 50 : 637 - 646
[9] COCENTRALIZING AND VANISHING DERIVATIONS ON MULTILINEAR POLYNOMIALS IN PRIME RINGS
De Filippis, Vincenzo
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2009, 50 (04) : 637 - 646
[10] Generalized derivations with multilinear polynomials in prime rings
Tiwari, S. K.
[J]. COMMUNICATIONS IN ALGEBRA, 2018, 46 (12) : 5356 - 5372

← 1 2 3 4 5 →