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Filomat
Article . 2021 . Peer-reviewed
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Hopkins-Levitzki theorem for Krasner hyperrings

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2021 English Publisher:National Library of SerbiaJournal:Filomat, volume 35, pages 4,963-4,970 (issn: 0354-5180, eissn: 2406-0933, Copyright policy )
Authors: S. Ostadhadi-Dehkordi; K.P. Shum;

doi: 10.2298/fil2115963o

Hopkins-Levitzki theorem for Krasner hyperrings

Abstract

In this paper, our aim is to generalize and extend the Hopkins-Levitzki theorem from noncommutative rings to Krasner hyperring. Also, we prove that a Krasner hyperring R is Noetherian if and only if it satisfies the ascending chain conditions of prime hyperideals.

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citations
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!
1
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Average
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