Galois and universal universal coverings of linear categories and fibre products
Claude Cibils, Maria Julia Redondo, Andrea Solotar

TL;DR
This paper investigates coverings of linear categories over a commutative ring, providing criteria for when such coverings are Galois or universal, and analyzing their behavior through fibre products.
Contribution
It introduces new criteria for Galois and universal coverings of $k$-categories and explores their properties via fibre product constructions.
Findings
Established a criterion for Galois coverings.
Characterized universal coverings in the context of $k$-categories.
Analyzed the behavior of coverings under fibre products.
Abstract
Let be a commutative ring. We study the behaviour of coverings of -categories through fibre products and find a criterion for a covering to be Galois or universal.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory
