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Boletim da Sociedade Paranaense de Matemática
Article . 2025 . Peer-reviewed
License: CC BY
Data sources: Crossref
Claim

Commutativity criteria for 3-prime near-rings via zero-power valued homoderivations

descriptionPublicationkeyboard_double_arrow_right Article 18 Sep 2025Publisher:Sociedade Paranaense de MatemáticaJournal:Boletim da Sociedade Paranaense de Matemática (issn: 0037-8712, eissn: 2175-1188, Copyright policy )
Authors: Slimane El Amrani; Abderrahmane Raji;

doi: 10.5269/bspm.77957

Commutativity criteria for 3-prime near-rings via zero-power valued homoderivations

Abstract

In this work, we discuss the commutativity of a 3-prime near-ring N that satisfies some algebraic identities under the action of a homoderivation. Additionally, we provide examples to illustrate that the 3- primeness and zero-power valued conditions imposed in our theorems are essential and cannot be disregarded.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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