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Research Article | Open Access

On centrally-extended n-homoderivations on rings

M. S. Tammam El-Sayiad1, Munerah Almulhem2( )
Department of Mathematics and Computer Science, Faculty of Science, Beni-Suef University, Beni-Suef City 62111, Egypt
Department of Mathematics, College of Science and Humanities, Imam Abdulrahman Bin Faisal University, Jubail 35811, Saudi Arabia
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Abstract

In this article, we explored the commutativity of a ring Λ 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.

Keywords

prime and semiprime ringshomoderivationCE-derivationCE-n-homoderivation
CLC number: 16N60, 16U80, 16W20, 16W25

References

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AIMS Mathematics
Volume 10 Issue 3,
March 2025
Pages 7191-7205
DOI: 10.3934/math.2025328

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Cite this article:
El-Sayiad MST, Almulhem M. On centrally-extended n-homoderivations on rings. AIMS Mathematics, 2025, 10(3): 7191-7205. https://doi.org/10.3934/math.2025328

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Received: 13 December 2024
Revised: 15 March 2025
Accepted: 19 March 2025
Published: 15 March 2025
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)