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arXiv · 2411.06670

A note on the Mac\'ias topology

Jhixon Macías·Reyes Ortiz
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Abstract

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.

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Jhixon Macías, Reyes Ortiz. 2024-11-11. A note on the Mac\'ias topology. https://arxiv.org/abs/2411.06670

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