Galois connections between lattices of preradicals induced by ring epimorphisms

DOI10.1142/S0219498820500450zbMath1453.16032OpenAlexW2912184276WikidataQ114614722 ScholiaQ114614722MaRDI QIDQ4960275

Rogelio Fernández-Alonso, Janeth Magaña

Publication date: 14 April 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820500450

zbMATH Keywords

Galois connectionsadjoint functorspreradicalsring epimorphisms

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Free, projective, and flat modules and ideals in associative algebras (16D40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Cites Work

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• Galois connections between lattices of preradicals induced by adjoint pairs between categories of modules.
• The structure of Galois connections
• THE LATTICE STRUCTURE OF PRERADICALS II: PARTITIONS
• THE LATTICE STRUCTURE OF PRERADICALS