Product and commuting generalized derivations in prime rings

被引：1

作者：

Tiwari, S. K. ^{[1
]}

机构：

[1] Indian Inst Technol Patna, Dept Math, Bihta 801106, Bihar, India

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 02期

关键词：

Prime ring; Utumi quotient ring; Generalized derivation; Extended centroid; Multilinear polynomial; MULTILINEAR POLYNOMIALS; VANISHING DERIVATIONS; IDENTITIES;

D O I：

10.1007/s12215-022-00739-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of the paper is to study the commuting generalized derivations. Suppose that R is a prime ring of char(R) not equal 2, pi(xi(1), ...,xi(n)) is a noncentral multilinear polynomial over C and T-1, T-2 and T-3 are generalized derivations on R. If T-2(xi)T-1(xi) = T-1(xi)xi - xi T-3(xi) for all xi = pi(xi(1), ...,xi(n)) is an element of f(R), then we describe all possible forms of T-1, T-2 and T-3.

引用

页码：1377 / 1397

页数：21

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