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arXiv.org e-Print Archive
Preprint . 2022
Data sources: arXiv.org e-Print Archive
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Categories and General Algebraic Structures with Applications
Article . 2025
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https://dx.doi.org/10.48550/ar...
Article . 2022
License: CC BY
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Primitive hyperideals and hyperstructure spaces of hyperrings

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2022Embargo end date: 01 Jan 2022Publisher:arXivJournal:Categories and General Algebraic Structures with Applications (issn: 2345-5853, Copyright policy )
Authors: Karin-Therese Howell; Amartya Goswami; Bijan Davvaz;

doi: 10.48550/arxiv.2212.14770

arXiv: http://arxiv.org/abs/2212.14770

Primitive hyperideals and hyperstructure spaces of hyperrings

Abstract

We introduce primitive hyperideals of a hyperring R and show relations with R itself, and with maximal and prime hyperideals of R. We endow a Jacobson topology on the set of primitive hyperideals of R and study topological properties of the corresponding hyperstructure space.

Keywords

hypermodule, jacobson topology, primitive hyperideal, Mathematics - Rings and Algebras, hyperring, 16Y99, 13E05, 16D60, Rings and Algebras (math.RA), noetherian space, QA1-939, FOS: Mathematics, Mathematics, generic point

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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!
0
Average
Average
Average
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gold