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.

引用

页数：10

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