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Research Article | Open Access

On centrally extended mappings that are centrally extended additive

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

This paper aims to establish the following: Let Ω be a ring that satisfies some conditions and has an idempotent element f≠0,1. We intend to show that if G is any suitable multiplicative generalized CE-derivation of Ω, then G is a centrally extended additive.

Keywords

ringidempotent elementpeirce decompositionderivationsgeneralized derivationcentrally extended derivations
CLC number: 16N60, 16U80, 16W25

References

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AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 33254-33262
DOI: 10.3934/math.20241586

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Cite this article:
El-Sayiad MST, Almulhem M. On centrally extended mappings that are centrally extended additive. AIMS Mathematics, 2024, 9(11): 33254-33262. https://doi.org/10.3934/math.20241586

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Received: 12 August 2024
Revised: 30 October 2024
Accepted: 14 November 2024
Published: 21 November 2024
©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)