Naturally Full Functors in Nature

Authors
Ardizzoni, A. Menini, C. Caenepeel, S. Militaru, G.
Citation
A. Ardizzoni, et al., Naturally Full Functors in Nature, Acta mathematica Sinica. English series (Print) , 22(1), 2006, pp. 233-250
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
22
Issue
1
Year of publication
2006
Pages
233 - 250
Database
ACNP
SICI code
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.