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.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Shahid Beheshti University
2025-01-01
|
| Series: | Categories and General Algebraic Structures with Applications |
| Subjects: | |
| Online Access: | https://cgasa.sbu.ac.ir/article_104814_fccbbcb202704df6b20d204779ae7462.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832586906436632576 |
|---|---|
| author | Karin-Therese Howell Amartya Goswami Bijan Davvaz |
| author_facet | Karin-Therese Howell Amartya Goswami Bijan Davvaz |
| author_sort | Karin-Therese Howell |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0e0eaabfbb0049c2b2df82d78db11393 |
| institution | Kabale University |
| issn | 2345-5853 2345-5861 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Shahid Beheshti University |
| record_format | Article |
| series | Categories and General Algebraic Structures with Applications |
| spelling | doaj-art-0e0eaabfbb0049c2b2df82d78db113932025-01-24T18:43:40ZengShahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-58532345-58612025-01-0122115717310.48308/cgasa.2023.234185.1460104814Primitive hyperideals and hyperstructure spaces of hyperringsKarin-Therese Howell0Amartya Goswami1Bijan Davvaz2Department of Mathematical Sciences, Stellenbosch University, Stellenbosch 7600, South Africa. National Institute for Theoretical and Computational Sciences (NITheCS), South Africa.Department of Mathematics and Applied Mathematics, University of Johannesburg, Auckland Park, 2006, South Africa. National Institute for Theoretical and Computational Sciences (NITheCS), South Africa.Department of Mathematical Sciences, Yazd University, Yazd, Iran.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.https://cgasa.sbu.ac.ir/article_104814_fccbbcb202704df6b20d204779ae7462.pdfhyperringhypermoduleprimitive hyperidealjacobson topologygeneric pointnoetherian space |
| spellingShingle | Karin-Therese Howell Amartya Goswami Bijan Davvaz Primitive hyperideals and hyperstructure spaces of hyperrings Categories and General Algebraic Structures with Applications hyperring hypermodule primitive hyperideal jacobson topology generic point noetherian space |
| title | Primitive hyperideals and hyperstructure spaces of hyperrings |
| title_full | Primitive hyperideals and hyperstructure spaces of hyperrings |
| title_fullStr | Primitive hyperideals and hyperstructure spaces of hyperrings |
| title_full_unstemmed | Primitive hyperideals and hyperstructure spaces of hyperrings |
| title_short | Primitive hyperideals and hyperstructure spaces of hyperrings |
| title_sort | primitive hyperideals and hyperstructure spaces of hyperrings |
| topic | hyperring hypermodule primitive hyperideal jacobson topology generic point noetherian space |
| url | https://cgasa.sbu.ac.ir/article_104814_fccbbcb202704df6b20d204779ae7462.pdf |
| work_keys_str_mv | AT karintheresehowell primitivehyperidealsandhyperstructurespacesofhyperrings AT amartyagoswami primitivehyperidealsandhyperstructurespacesofhyperrings AT bijandavvaz primitivehyperidealsandhyperstructurespacesofhyperrings |