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math.CT2025
Galois Connections and Preradicals in Abelian Categories
Rogelio Fernández-Alonso, Janeth Magaña, Martha Lizbeth Shaid Sandoval-Miranda +1
In this paper we define operations of preradicals of any abelian category. We define idempotent preradicals and radicals. We prove that every adjoint pair between abelian categorie…
math.CT2020
Gabriel localization in functor categories
Martin Ortiz-Morales, Martha Lizbeth Shaid Sandoval-Miranda, Valente Santiago-Vargas
P. Gabriel showed that for an unital ring , there exists a bijective correspondence between the set of Gabriel filters of and the set of Giraud subcategories of $\mathrm{Mod…