On nilpotent homoderivations in semi-prime rings

被引：0
|
作者：
Taoufiq, Lahcen [1 ]
Belkadi, Said [1 ]
机构：
[1] IBN ZOHR Univ, Math Comp Sci & Applicat Lab, ENSA, Agadir, Morocco
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2025年 / 43卷
关键词：
Homoderivation; nilpotent homoderivation; Leibniz formula; iterates of homoderivations; prime and semi-prime ring;
D O I：
10.5269/bspm.63913
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be an associative ring and let s >= 1 be a fixed integer. An additive map h on R is called a homoderivation if h(xy) = h(x)h(y) + h(x)y + xh(y) holds for all x, y is an element of R. In [4,5,6], Chung and Luh proved several results about the nilpotency of derivations in semi-prime rings. Similarly, the main objective of this paper is to provide a complete study about the nilpotency of homoderivations with nilpotency 's' in semi-prime rings.
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页数：10
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