A note on the Mac\'ias topology
In this paper, we study some properties of the closure operator in the Mac\'ias 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 hyperco...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | In this paper, we study some properties of the closure operator in the
Mac\'ias 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 Mac\'ias topology. Additionally, some problems are
proposed. |
|---|---|
| DOI: | 10.48550/arxiv.2411.06670 |