Primitive hyperideals and hyperstructure spaces of hyperrings

Bijan Davvaz; Amartya Goswami; Karin Therese Howell

doi:10.48308/cgasa.20.1.157

Primitive hyperideals and hyperstructure spaces of hyperrings

Bijan Davvaz
, Amartya Goswami
, Karin Therese Howell

Mathematics and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We introduce primitive hyperideals of a hyperring R and show how they are related to R itself, and to maximal and prime hyperideals of R. We endow a Jacobson topology on the set of primitive hyperideals of R and study the topological properties of the corresponding hyperstructure space.

Original language	English
Pages (from-to)	157-173
Number of pages	17
Journal	Categories and General Algebraic Structures with Applications
Volume	22
Issue number	1
DOIs	https://doi.org/10.48308/cgasa.20.1.157
Publication status	Published - 2025

Keywords

Hyperring
Jacobson topology
Noetherian space
generic point
hypermodule
primitive hyperideal

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Computational Mathematics
Applied Mathematics

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10.48308/cgasa.20.1.157

Cite this

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abstract = "We introduce primitive hyperideals of a hyperring R and show how they are related to R itself, and to maximal and prime hyperideals of R. We endow a Jacobson topology on the set of primitive hyperideals of R and study the topological properties of the corresponding hyperstructure space.",

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KW - Noetherian space

KW - generic point

KW - hypermodule

KW - primitive hyperideal

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DO - 10.48308/cgasa.20.1.157

M3 - Article

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Primitive hyperideals and hyperstructure spaces of hyperrings

Abstract

Keywords

ASJC Scopus subject areas

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