Primitive hyperideals and hyperstructure spaces of hyperrings
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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Shahid Beheshti University
2025-01-01
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| Series: | Categories and General Algebraic Structures with Applications |
| Subjects: | |
| Online Access: | https://cgasa.sbu.ac.ir/article_104814_fccbbcb202704df6b20d204779ae7462.pdf |
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| Summary: | 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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| ISSN: | 2345-5853 2345-5861 |