Commutativity of Prime Ring with Permuting Generalized (α,β) n-Derivation

被引：0

作者：

Ahmed, Wasim ^{[1
]}

Mozumder, Muzibur Rahman ^{[1
]}

Abbasi, Adnan ^{[2
]}

机构：

[1] Aligarh Muslim Univ, Fac Sci, Dept Math, Aligarh, India

[2] VIT Bhopal Univ, Sch Adv Sci & Languages, Sehore 466114, MP, India

来源：

IRANIAN JOURNAL OF SCIENCE | 2025年

关键词：

Prime ring; Derivation; Trace; Permuting generalized (alpha; beta); n-derivation;

D O I：

10.1007/s40995-025-01835-9

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We study the commutativity of prime ring R on the action of permuting maps says, permuting (alpha,beta)n-derivations, and permuting generalized (alpha,beta)n-derivations. In this paper, we also generalized the result of Ashraf (Southeast Asian Bull. Math. 38:321-332, 2014), Theorem 2.6). Further, we also investigate some more results on the mentioned permuting maps with the help of traces.

引用

页数：6

共 6 条

[1]

Ashraf M, 2014, SOUTHEAST ASIAN BULL, V38, P321

[2] On generalized (σ, τ)-n-derivations in prime near-rings [J].

Ashraf, Mohammad ;

Siddeeque, Mohammad Aslam .

GEORGIAN MATHEMATICAL JOURNAL, 2018, 25 (01) :9-17

[3]

Ashraf M, 2016, SOUTHEAST ASIAN BULL, V40, P783

[4] ON PERMUTING n-DERIVATIONS IN NEAR-RINGS [J].

Ashraf, Mohammad ;

Siddeeque, Mohammad Aslam .

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 28 (04) :697-707

[5]

Nejjar B., 2017, Palest J Math, V6, P45

[6]

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

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