IDENTITIES WITH DERIVATIONS IN RINGS

被引：9

作者：

Fosner, Ajda ^{[1
]}

Fosner, Maja ^{[2
]}

Vukman, Joso ^{[3
]}

机构：

[1] Univ Primorska, Fac Management, Koper 6104, Slovenia

[2] Univ Maribor, Fac Logist, Celje 3000, Slovenia

[3] Univ Maribor, Fac Nat Sci & Math, Dept Math & Comp Sci, Maribor 2000, Slovenia

来源：

GLASNIK MATEMATICKI | 2011年 / 46卷 / 02期

关键词：

Prime ring; semiprime ring; derivation; SEMIPRIME RINGS;

D O I：

10.3336/gm.46.2.06

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate identities with derivations in rings. We prove, for example the following result. Let m >= in >= 1 be some fixed integers and let R be a 6nm(2) (2m+n-3)!-torsion free semiprime ring. Suppose there exists a derivation D : R -> R satisfying the relation [[D(x(m)), x(n)], D(x(m))] = 0 for all x is an element of R. In this case D maps R into its center.

引用

页码：339 / 349

页数：11

共 9 条

[1]

[Anonymous], P AM MATH SOC

[2]

Beidar K. I., 1996, RINGS GEN IDENTITIES

[3] ON COMPOSITIONS OF DERIVATIONS OF PRIME-RINGS [J].

CHUANG, CL .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 108 (03) :647-652

[4] ON DERIVATIONS AND COMMUTATIVITY IN SEMIPRIME RINGS [J].

DENG, Q ;

BELL, HE .

COMMUNICATIONS IN ALGEBRA, 1995, 23 (10) :3705-3713

[5]

Fosner A, 2008, DEMONSTR MATH, V41, P525

[6]

Lee T. K., 1992, Bull. Inst. Math. Acad. Sinica, V20, P27

[7]

PSONER EC, 1957, P AM MATH SOC, V8, P1093

[8]

Vukman J., 2005, Glasnik Matematicki, Serija III, V40, P189, DOI 10.3336/gm.40.2.01

[9] Derivations on semiprime rings [J].

Vukman, J .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1996, 53 (03) :353-359

← 1 →