A characterization of the centroid of a prime ring

被引：12

作者：

Benkovic, Dominik ^{[1
]}

Eremita, Daniel ^{[1
]}

Vukman, Joso ^{[1
]}

机构：

[1] Univ Maribor, Dept Math & Comp Sci, FNM, Maribor 2000, Slovenia

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2008年 / 45卷 / 03期

关键词：

centroid; functional identity; d-free subset; prime ring;

D O I：

10.1556/SScMath.2008.1069

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize certain maps by their action on a fixed polynomial in noncommuting variables on algebras satisfying certain d-freeness condition. Consequently, a characterization of the centroid of a prime ring is obtained.

引用

页码：379 / 394

页数：16

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