Commutators with idempotent values on multilinear polynomials in prime rings

被引：4

作者：

De Filippis, Vincenzo ^{[1
]}

Raza, Mohd Arif ^{[2
]}

Rehman, Nadeem Ur ^{[2
]}

机构：

[1] Univ Messina, Fac Engn, I-98166 Messina, Italy

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

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2017年 / 127卷 / 01期

关键词：

Multilinear polynomial; derivations; generalized polynomial identity; prime ring; right ideal; DERIVATIONS; IDEALS; NIL;

D O I：

10.1007/s12044-016-0316-1

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, C its extended centroid, d a nonzero derivation of R, f(x (1), . . . , x (n) ) a multilinear polynomial over C, rho a nonzero right ideal of R and m > 1 a fixed integer such that ([d(f(r(1), ..., r(n))), f(r(1), ..., r(n))])(m) = [d(f((r(1), ..., r(n))), f(r(1), ..., r(n))] for all r (1), . . . , r (n) a rho. Then either [f(x (1),aEuro broken vertical bar,x (n) ),x (n+1)]x (n+2) is an identity for rho or d(rho)rho = 0.

引用

页码：91 / 98

页数：8

共 18 条

[1]

Beidar K.I., 1978, MOSCOW U MATH B, V33, P53

[2] CENTRALIZING MAPPINGS OF SEMIPRIME RINGS [J].