Rings with Centrally-Extended Higher *-Derivations

被引：0
|
作者：
Ezzat, O. H. [1 ,2 ]
机构：
[1] Univ Bisha, Coll Sci & Arts Balqarn, Dept Math, Sabt Al Alaya 67543, Saudi Arabia
[2] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2023年 / 33卷 / 02期
关键词：
(*)-Derivations; Higher (*)-Derivations; Semiprime rings; Central ideals; Involutions; HIGHER DERIVATIONS; MAPS;
D O I：
10.1007/s00006-023-01265-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the notions of centrally-extended higher (*)-derivations and centrally-extended generalized higher (*)-derivations. Both are shown to be additive in a (*)-ring without nonzero central ideals. Also, we prove that in semiprime (*)-rings with no nonzero central ideals, every centrally-extended (generalized) higher (*)-derivation is a (generalized) higher (*)-derivation.
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页数：11
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