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Discussiones Mathematicae - General Algebra and Applications
Article . 2022 . Peer-reviewed
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Discussiones Mathematicae - General Algebra and Applications
Article . 2022
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Sivas Cumhuriyet Üniversitesi
Article . 2024
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Generalized centroid of hyperrings

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2022 Turkey English Publisher:University of Zielona Góra, PolandJournal:Discussiones Mathematicae - General Algebra and Applications, volume 42, page 5 (issn: 1509-9415, eissn: 2084-0373, Copyright policy )
Authors: Yazarli, Hasret; Davvaz, Bijan; Yilmaz, Damla;

doi: 10.7151/dmgaa.1387

handle: 20.500.12418/26764

Generalized centroid of hyperrings

Abstract

In this paper, the notion of generalized centroid is applied to hyperrings. We show that the generalized centroid C of a semiprime hyperring R is a regular hyperring. Also, we show that if C is a hyperfield, then R is a prime hyperring.

Country
Turkey
Related Organizations
Keywords

semiprime hyperring, 16y20, regular hyperring, 20n20, generalized centroid, QA1-939, Generalized centroid; Hyperring; Regular hyperring; Semiprime hyperring, hyperring, Mathematics

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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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Published in a Diamond OA journal