Pure-direct-objects in categories: transfer via functors
SE Toksoy - Communications in Algebra, 2023 - Taylor & Francis
Communications in Algebra, 2023•Taylor & Francis
… We study transfer of pure-direct-objects via functors between Grothendieck categories.
We consider fully faithful functors and adjoint pairs of functors. We give applications to
module … In this study, pure-direct-objects in Grothendieck categories, ie cocomplete
abelian categories with a family of generators and exact direct limits, are introduced and the
transfer of pure-direct-objects via (additive) functors between Grothendieck categories is
investigated. Namely, an object M of a Grothendieck …
We consider fully faithful functors and adjoint pairs of functors. We give applications to
module … In this study, pure-direct-objects in Grothendieck categories, ie cocomplete
abelian categories with a family of generators and exact direct limits, are introduced and the
transfer of pure-direct-objects via (additive) functors between Grothendieck categories is
investigated. Namely, an object M of a Grothendieck …
Abstract
We study transfer of pure-direct-objects via functors between Grothendieck categories. We consider fully faithful functors and adjoint pairs of functors. We give applications to module categories and comodule categories.
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