On some functional equation arising from (m, n)-Jordan derivations of prime rings

被引：0

作者：

Fosner, Maja ^{[1
]}

Marcen, Benjamin ^{[1
]}

Vukman, Joso ^{[2
]}

机构：

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

[2] Univ Maribor, Dept Math & Comp Sci, Fac Nat Sci & Math, Koroska Cesta 160, SLO-2000 Maribor, Slovenia

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2018年 / 92卷 / 1-2期

关键词：

prime ring; semiprime ring; derivation; Jordan derivation; left derivation; left Jordan derivation; (m; n)-Jordan derivation; functional equation; functional identity; LEFT JORDAN DERIVATIONS; BANACH-ALGEBRAS; MAPPINGS; COMMUTATIVITY; IDENTITIES;

D O I：

10.5486/PMD.2018.7780

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 m >= 1, n >= 1 be some fixed integers with m not equal n, and let R be a prime ring with char(R) > (m + n)(2). Suppose that D : R -> R is an additive mapping satisfying the relation (m+n)(2) D (x(4)) = 4m(2) D(x)x(3) +4mnx D(x)x(2) + 4mnx(2) D(x)x+4n(2)x(3) D(x) for all x is an element of R. In this case, D is a derivation and R is commutative.

引用

页码：133 / 146

页数：14

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