Year: 2024
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Macías, Jhixon, Ortiz, Reyes
Institution: University of Puerto Rico-Mayaguez
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4404391337