On centrally-extended n-homoderivations on rings

M. S.Tammam El-Sayiad; Munerah Almulhem

doi:10.3934/math.2025328

On centrally-extended n-homoderivations on rings

M. S.Tammam El-Sayiad
, Munerah Almulhem^*

^*Corresponding author for this work

Mathematics Department

Beni-Suef University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	7191-7205
Number of pages	15
Journal	AIMS Mathematics
Volume	10
Issue number	3
DOIs	https://doi.org/10.3934/math.2025328
State	Published - 2025

Keywords

CE-derivation
CE-n-homoderivation
homoderivation
prime and semiprime rings

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10.3934/math.2025328

Cite this

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title = "On centrally-extended n-homoderivations on rings",

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.",

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AB - 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.

KW - CE-derivation

KW - CE-n-homoderivation

KW - homoderivation

KW - prime and semiprime rings

UR - https://www.scopus.com/pages/publications/105002358663

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DO - 10.3934/math.2025328

M3 - Article

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SN - 2473-6988

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SP - 7191

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JO - AIMS Mathematics

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On centrally-extended n-homoderivations on rings

Abstract

Keywords

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