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Axioms
Article . 2025 . Peer-reviewed
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Article . 2025
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On Prime Rings with Derivations

descriptionPublicationkeyboard_double_arrow_right Article 27 Nov 2025 English Publisher:MDPI AGJournal:Axioms, volume 14, page 872 (eissn: 2075-1680, Copyright policy )
Authors: Khalid H. Al-Shaalan;

doi: 10.3390/axioms14120872

On Prime Rings with Derivations

Abstract

This paper identifies all derivations associated with two well-known non-commutative prime rings and provides some remarks on one of these derivations, called the prime derivation. Also, it presents two results for some classes of non-commutative prime rings, regarding when the images of derivations on these rings are subrings of them. The paper also includes some illustrative examples and concludes with a set of questions for further exploration of this topic.

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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!
0
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