Globalization for geometric partial comodules

Abstract

We discuss globalization for geometric partial comodules in a monoidal category with pushouts and we provide a concrete procedure to construct it, whenever it exists. The mild assumptions required by our approach make it possible to apply it in a number of contexts of interests, recovering and extending numerous ad hoc globalization constructions from the literature in some cases and providing obstruction for globalization in some other cases.

Authors' Accepted Manuscript

References in corpus (4)

• Galois corings applied to partial Galois theory
• Duality for partial group actions
• On the globalization of geometric partial (co)modules in the categories of topological spaces and algebras
• Geometric partial comodules over flat coalgebras in Abelian categories are globalizable

Cited by in corpus (5)

• Globalization of partial actions of semigroups
• On the globalization of geometric partial (co)modules in the categories of topological spaces and algebras
• Geometric partial comodules over flat coalgebras in Abelian categories are globalizable
• Partial and global representations of finite groups
• Partial monoid actions on objects in categories with pullbacks and their globalizations