A new equation related to two-sided centralizers in prime rings

被引：0

作者：

Fosner, Maja ^{[1
]}

Marcen, Benjamin ^{[1
]}

机构：

[1] Univ Maribor, Fac Logist, Mariborska Cesta 7, Celje 3000, Slovenia

来源：

AEQUATIONES MATHEMATICAE | 2022年

关键词：

Ring; Prime ring; Semiprime ring; Derivation; Jordan derivation; Jordan triple derivation; Left (right) centralizer; Left (right) Jordan centralizer; Two-sided centralizer; Functional equation; Functional identity; FUNCTIONAL IDENTITIES;

D O I：

10.1007/800010-022-00904-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the following result: Let R be a prime ring with char(R) not equal 2, 3, 5 and let T : R -> R be an additive mapping satisfying the relation T(x(4)) = xT(x(2))x for all x is an element of R. In this case T is of the form T(x) = lambda x for all x is an element of R and some fixed element lambda is an element of C, where C is the extended centroid of R.

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页数：13

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