A note on generalized derivations with multilinear polynomials in prime rings

被引：1

作者：

Tiwari, Shailesh Kumar ^{[1
]}

Singh, Sanjay Kumar ^{[1
]}

机构：

[1] Indian Inst Sci Educ & Res, Dept Math, Bhopal 462066, Madhya Pradesh, India

来源：

COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 04期

关键词：

Derivation; extended centroid; generalized derivation; Prime ring; Utumi quotient ring; VANISHING DERIVATIONS; CENTRALIZERS; IDENTITIES;

D O I：

10.1080/00927872.2019.1705473

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a prime ring of characteristic different from 2, U the Utumi quotient ring of R with the extended centroid C and be a non-central multilinear polynomial over C. Suppose that F and G are two generalized derivations on R such that for all then we give the complete description of the mappings F and G.

引用

页码：1770 / 1788

页数：19

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