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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Article . 2019 . Peer-reviewed
License: CC BY NC ND
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Article
License: CC BY NC ND
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Article . 2019
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Hyperideal theory in ordered Krasner hyperrings

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Mar 2019 English Publisher:Walter de Gruyter GmbHJournal:Analele Universitatii "Ovidius" Constanta - Seria Matematica, volume 27, pages 193-210 (eissn: 1844-0835, Copyright policy )
Authors: Saber Omidi; Bijan Davvaz;

doi: 10.2478/auom-2019-0010

Hyperideal theory in ordered Krasner hyperrings

Abstract

Abstract In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤). In particular, we introduce the concepts of prime hyperideals and semiprime hyperideals of an ordered Krasner hyperring and present several examples of them.

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Keywords

primary 16y99, prime hyperideal, ordered krasner hyperring, QA1-939, secondary 20n20, algebraic hyperstructure, convex hyperideal, semiprime hyperideal, m-system, Mathematics

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    influence
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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!
2
Average
Average
Average
Published in a Diamond OA journal
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