Multiplicative Generalized Reverse ∗CE-Derivations Acting on Rings with Involution

Let S be a ring with involution having a nontrivial symmetric idempotent element e. If Ω is any appropriate multiplicative generalized reverse  ∗CE-derivation of S with involution ∗, then under some suitable restrictions on S, Ω is centrally-extended additive.

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Main Authors: A. M. Khaled, A. Ghareeb, M. S. Tammam El-Sayiad
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/2102909
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author A. M. Khaled
A. Ghareeb
M. S. Tammam El-Sayiad
author_facet A. M. Khaled
A. Ghareeb
M. S. Tammam El-Sayiad
author_sort A. M. Khaled
collection DOAJ
description Let S be a ring with involution having a nontrivial symmetric idempotent element e. If Ω is any appropriate multiplicative generalized reverse  ∗CE-derivation of S with involution ∗, then under some suitable restrictions on S, Ω is centrally-extended additive.
format Article
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institution DOAJ
issn 2314-4785
language English
publishDate 2023-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-a61a5b1ebda048cba28a295be0bf9ca12025-08-20T03:20:00ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/2102909Multiplicative Generalized Reverse ∗CE-Derivations Acting on Rings with InvolutionA. M. Khaled0A. Ghareeb1M. S. Tammam El-Sayiad2Department of Mathematics and Computer ScienceDepartment of MathematicsDepartment of Mathematics and Computer ScienceLet S be a ring with involution having a nontrivial symmetric idempotent element e. If Ω is any appropriate multiplicative generalized reverse  ∗CE-derivation of S with involution ∗, then under some suitable restrictions on S, Ω is centrally-extended additive.http://dx.doi.org/10.1155/2023/2102909
spellingShingle A. M. Khaled
A. Ghareeb
M. S. Tammam El-Sayiad
Multiplicative Generalized Reverse ∗CE-Derivations Acting on Rings with Involution
Journal of Mathematics
title Multiplicative Generalized Reverse ∗CE-Derivations Acting on Rings with Involution
title_full Multiplicative Generalized Reverse ∗CE-Derivations Acting on Rings with Involution
title_fullStr Multiplicative Generalized Reverse ∗CE-Derivations Acting on Rings with Involution
title_full_unstemmed Multiplicative Generalized Reverse ∗CE-Derivations Acting on Rings with Involution
title_short Multiplicative Generalized Reverse ∗CE-Derivations Acting on Rings with Involution
title_sort multiplicative generalized reverse ∗ce derivations acting on rings with involution
url http://dx.doi.org/10.1155/2023/2102909
work_keys_str_mv AT amkhaled multiplicativegeneralizedreversecederivationsactingonringswithinvolution
AT aghareeb multiplicativegeneralizedreversecederivationsactingonringswithinvolution
AT mstammamelsayiad multiplicativegeneralizedreversecederivationsactingonringswithinvolution