On n-Jordan homoderivations in rings

被引：1
|
作者：
Belkadi, Said [2 ]
Ali, Shakir [1 ]
Taoufiq, Lahcen [2 ]
机构：
[1] Aligarh Muslim Univ, Fac Sci, Dept Math, Aligarh 202002, India
[2] IBN ZOHR Univ, Math Comp Sci & Applicat Lab, ENSA, Agadir, Morocco
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2024年 / 31卷 / 01期
关键词：
Homoderivation; Jordan homoderivation; prime and semi-prime ring; DERIVATIONS; HOMOMORPHISMS;
D O I：
10.1515/gmj-2023-2065
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a ring and let n = 1 be a fixed integer. An additive mapping h of a ring R into itself is called an n-Jordan homoderivation if h(x(n)) = (h(x) + x)(n) - x(n) holds for all x ? R. In this paper, we initiate the study of n-Jordan homoderivations on rings. Precisely, we characterize n-Jordan homoderivations in terms of homoderivations and anti-homomorphisms under certain conditions. Finally, we conclude our paper with a direction for further research.
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页码：17 / 24
页数：8
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