COMMUTATIVITY OF PRIME RINGS WITH GENERALIZED SKEW DERIVATIONS

被引：0

作者：

Ashraf, Mohammad ^{[1
]}

Parveen, Nazia ^{[1
]}

Pary, Sajad Ahmad ^{[1
]}

机构：

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

来源：

REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES | 2022年 / 67卷 / 1-2期

关键词：

prime ring; generalized skew derivation; Martindale ring of quotient; extended centroid; IDENTITIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we investigate the action of generalized skew derivation F in a prime ring R which satisfies differential identities involving anti-commutator for a nonzero ideal I of R. In fact, we obtain the characterisation of the map F and the commutativity of a prime ring R which satisfies either of the identities F(x circle y) = x circle y for all x, y is an element of I or F(x) circle F(y) = x circle y for all x, y is an element of I.

引用

页码：21 / 30

页数：10

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