A RESULT CONCERNING ADDITIVE MAPPINGS IN SEMIPRIME RINGS

被引：4
|
作者：
Fosner, Maja [1 ]
机构：
[1] Univ Maribor, Fac Logist, Mariborska Cesta 7, Celje 3000, Slovenia
来源：
MATHEMATICA SLOVACA | 2015年 / 65卷 / 06期
关键词：
prime ring; semiprime ring; additive mapping; derivation; commuting mapping; centralizing mapping; skew-commuting mapping; PRIME-RINGS; CENTRALIZING MAPPINGS; BANACH-ALGEBRAS; DERIVATIONS; MAPS;
D O I：
10.1515/ms-2015-0088
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove the following result. Let R be a 2-torsion free semiprime ring and let f : R -> R be an additive mapping satisfying the relation f(x)x(2) + x(2)f(x) = 0 for all x is an element of R. In this case f = 0. Any semisimple Banach algebra (for example, C* algebra) is semiprime. Therefore this algebraic result might be of some interest from functional analysis point of view. (C) 2015 Mathematical Institute Slovak Academy of Sciences
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页码：1271 / 1276
页数：6
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