Commutativity of near-rings with (σ, τ)-derivations

被引：0

作者：

Kamal, Ahmed A. M. ^{[1
,2
]}

Al-Shaalan, Khalid H.

机构：

[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

[2] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2013年 / 21卷 / 01期

关键词：

zero divisors; (sigma; tau)-derivations; 3-prime near-rings; commutativity; DERIVATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study some conditions under which a near-ring R admitting a (multiplicative) (sigma, tau)-derivation d must be a commutative ring with constrained-suitable conditions on d, sigma and tau. Consequently, we obtain some results which generalize some recent theorems in the literature.

引用

页码：121 / 141

页数：21

共 14 条

[1]

[Anonymous], 1983, NEAR RINGS THEORY IT

[2]

Ashraf M., 2005, TRENDS THEORY RINGS, P5

[3]

Ashraf M., 2004, ARCH MATH-BRNO, V40, P281

[4]

Ashraf M., 2008, Sarajevo J. Math., V4, P23

[5]

Bell H. E., 1987, N HOLLAND MATH STUD, V137

[6] Nonexistence of derivations on transformation near-rings [J].

Fong, Y ;

Ke, WF ;

Wang, CS .

COMMUNICATIONS IN ALGEBRA, 2000, 28 (03) :1423-1428

[7]

Gölbasi Ö, 2007, HACET J MATH STAT, V36, P43

[8]

Golbasi O., 2004, MATH J OKAYAMA U, V46, P1

[9]

Kamal A. A. M., MATH SLOVAC IN PRESS

[10]

Kamal A. A. M., 2001, TAMKANG J MATH, V32, P89

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