ON GENERALIZED SKEW-COMMUTING MAPPINGS OF PRIME RINGS

被引：1

作者：

Leerawat, Utsanee ^{[1
]}

Lapuangkham, Siriporn ^{[1
]}

机构：

[1] Kasetsart Univ, Dept Math, Fac Sci, Bangkok, Thailand

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2020年 / 46卷 / 02期

关键词：

skew-commuting map; additive map; semiprime ring; prime ring;

D O I：

10.17654/NT046020133

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a ring. Two mappings f : R -> R and g : R -> R are said to be generalized skew-commuting on R if f (x) g(x) + g( x) f (x) = 0 for all x in R. The main purpose of this paper is to prove the following result, which generalizes the conjecture of Nadeem et al.: Let R be a 2-torsion free prime ring with g : R -> R a non-zero isomorphism or anti-isomorphism of R. If f and g are generalized skew-commuting on R, then f (x) = 0 for all x in R.

引用

页码：133 / 144

页数：12

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