Composition and orthogonality of derivations with multilinear polynomials in prime rings

被引：3

作者：

Prajapati, Balchand ^{[1
]}

Gupta, Charu ^{[1
]}

机构：

[1] Ambedkar Univ, Sch Liberal Studies, Delhi 110006, India

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2020年 / 69卷 / 03期

关键词：

Prime ring; Derivation; Orthogonal derivations; Extended centroid; Utumi quotient ring; GENERALIZED DERIVATIONS; VANISHING DERIVATIONS; IMAGES; IDEALS;

D O I：

10.1007/s12215-019-00473-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a non commutative prime ring of characteristic different from 2 with Utumi quotient ring U and extended centroid C. Let d and delta be two derivations of R and S be the set of evaluations of a multilinear polynomial f (x(1),..., x(n)) over C which is not central valued. Let p, q. R. We prove the followings. for some a. U and f (x(1),..., x(n))(2) is central valued.

引用

页码：1279 / 1294

页数：16

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