On generalized (σ, τ)-n-derivations in prime near-rings

被引：1

作者：

Ashraf, Mohammad ^{[1
]}

Siddeeque, Mohammad Aslam ^{[1
]}

机构：

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

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2018年 / 25卷 / 01期

关键词：

Prime near-ring; derivation; n-derivation; generalized; (sigma; tau)-n-derivation and commutativity; DERIVATIONS;

D O I：

10.1515/gmj-2016-0083

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we introduce the notion of generalized (sigma, tau)-n-derivations in a near-ring N and investigate a property involving generalized (sigma, tau)-n-derivations of a prime near-ring N, which makes N a commutative ring. Additive commutativity of a prime near-ring N satisfying certain identities involving generalized (sigma, tau)-n-derivations is also obtained.

引用

页码：9 / 17

页数：9

共 16 条

[11] On Prime and Semiprime Near-Rings with Generalized Derivation [J].

Golbasi, Oznur .

QUAESTIONES MATHEMATICAE, 2010, 33 (03) :387-390

[12]

Öztürk MA, 2011, GAZI U J SCI, V24, P723

[13] SOME RESULTS ON SYMMETRIC BI-(σ, τ)- DERIVATIONS IN NEAR-RINGS [J].

Ozturk, Mehmet Ali ;

Yazarli, Hasret .

MISKOLC MATHEMATICAL NOTES, 2010, 11 (02) :169-173

[14]

Park Kyoo-Hong, 2009, [Journal of the Chungcheong Mathematical Society, 충청수학회지], V22, P451

[15]

PILZ G, 1983, N HOLLAND MATH STUD, V23

[16]

Siddeeque, 2014, PALEST J MATH, V3, P468

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