A note on the Macías topology
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866915359086346240 |
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| author | Macías, Jhixon Ortiz, Reyes |
| author_facet | Macías, Jhixon Ortiz, Reyes |
| contents | In this paper, we study some properties of the closure operator in the Macías topology on infinite integral domains. Moreover, under certain conditions, we present topological proofs of the infiniteness of maximal ideals and non-associated irreducible elements, taking advantage of the hyperconnectedness of the Macías topology. Additionally, some problems are proposed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06670 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the Macías topology Macías, Jhixon Ortiz, Reyes Algebraic Topology In this paper, we study some properties of the closure operator in the Macías topology on infinite integral domains. Moreover, under certain conditions, we present topological proofs of the infiniteness of maximal ideals and non-associated irreducible elements, taking advantage of the hyperconnectedness of the Macías topology. Additionally, some problems are proposed. |
| title | A note on the Macías topology |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2411.06670 |