On centrally-extended $ n $-homoderivations on rings

M. S. Tammam El-Sayiad; Munerah Almulhem; M. S. Tammam El-Sayiad; Munerah Almulhem

doi:10.3934/math.2025328

AIMS Mathematics

2025, Volume 10, Issue 3: 7191-7205. doi: 10.3934/math.2025328

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Research article

On centrally-extended $ n $-homoderivations on rings

M. S. Tammam El-Sayiad ¹,
Munerah Almulhem ^{2
,
,}

1.
Department of Mathematics and Computer Science, Faculty of Science, Beni-Suef University, Beni-Suef City 62111, Egypt
2.
Department of Mathematics, College of Science and Humanities, Imam Abdulrahman Bin Faisal University, Jubail 35811, Saudi Arabia

Received: 13 December 2024 Revised: 15 March 2025 Accepted: 19 March 2025 Published: 28 March 2025
MSC : 16N60, 16U80, 16W20, 16W25

In this article, we explored the commutativity of a ring $ \Lambda $ that is equipped with a unique class of mappings called centrally extended $ n $-homoderivations, where $ n $ is an integer. These mappings generalize the concepts of derivations and homoderivations. Furthermore, we investigated specific properties of the center of such rings.
- prime and semiprime rings,
- homoderivation,
- CE-derivation,
- CE-$ n $-homoderivation
Citation: M. S. Tammam El-Sayiad, Munerah Almulhem. On centrally-extended $ n $-homoderivations on rings[J]. AIMS Mathematics, 2025, 10(3): 7191-7205. doi: 10.3934/math.2025328

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Abstract

In this article, we explored the commutativity of a ring $ \Lambda $ that is equipped with a unique class of mappings called centrally extended $ n $-homoderivations, where $ n $ is an integer. These mappings generalize the concepts of derivations and homoderivations. Furthermore, we investigated specific properties of the center of such rings.

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