We introduce and discuss the notion of a naturally full functor. The definition is similar to the definition of a separable functor; a naturally full functor is a functorial version of a full functor, while a separable functor is a functorial version of a faithful functor. We study the general properties of naturally full functors. We also discuss when functors between module categories and between categories of comodules over a coring are naturally full.

Naturally Full Functors in Nature

ARDIZZONI, Alessandro;MENINI, Claudia;
2006

Abstract

We introduce and discuss the notion of a naturally full functor. The definition is similar to the definition of a separable functor; a naturally full functor is a functorial version of a full functor, while a separable functor is a functorial version of a faithful functor. We study the general properties of naturally full functors. We also discuss when functors between module categories and between categories of comodules over a coring are naturally full.
2006
Ardizzoni, Alessandro; Caenepeel, S.; Menini, Claudia; Militaru, G.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/1205311
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