Functional equations related to higher derivations in semiprime rings

被引：7
作者：
Ezzat, O. H. [1 ,2 ]
机构：
[1] Univ Bisha, Coll Sci & Arts Belqarn, Dept Math, Sabt Al Alaya 61985, Saudi Arabia
[2] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt
来源：
OPEN MATHEMATICS | 2021年 / 19卷 / 01期
关键词：
functional equations; higher derivations; semiprime rings; central ideals;
D O I：
10.1515/math-2021-0123
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the additivity and multiplicativity of centrally extended higher derivations and show that every centrally extended higher derivation of a semiprime ring with no nonzero central ideals is a higher derivation. Moreover, we study preservation of the center of the ring by a centrally extended higher derivation.
引用
收藏
页码：1359 / 1365
页数：7
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