GENERALIZED DERIVATIONS IN PRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS

被引：17

作者：

De Filippis, Vincenzo ^{[1
]}

机构：

[1] Univ Messina, Fac Engn, I-98166 Messina, Italy

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 45卷 / 04期

关键词：

prime ring; derivations; differential identities; Banach algebras;

D O I：

10.4134/BKMS.2008.45.4.621

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, C the extended centroid of R, and delta a generalized derivations of R. If [[delta(x), x], delta(x)] = 0 for all x epsilon R then either R is commutative or delta(x) = ax for all x epsilon R and some a epsilon C. We also obtain some related result in case R is a Banach algebra and delta is either continuous or spectrally bounded.

引用

页码：621 / 629

页数：9

共 23 条

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