A note on the class of sober rings
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866918101098954752 |
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| author | Jafari, Saeid Lax, Ernesto |
| author_facet | Jafari, Saeid Lax, Ernesto |
| contents | We introduce the class of sober rings and investigate it through several key results, highlighting connections to some other known classes of rings. We analyze sufficient conditions for a ring to be sober, as well as necessary conditions. We also provide examples to illustrate the behavior of this property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15978 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on the class of sober rings Jafari, Saeid Lax, Ernesto Commutative Algebra Primary 13A15, Secondary 13F05, 13F10 We introduce the class of sober rings and investigate it through several key results, highlighting connections to some other known classes of rings. We analyze sufficient conditions for a ring to be sober, as well as necessary conditions. We also provide examples to illustrate the behavior of this property. |
| title | A note on the class of sober rings |
| topic | Commutative Algebra Primary 13A15, Secondary 13F05, 13F10 |
| url | https://arxiv.org/abs/2507.15978 |