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;
2006-01-01

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
22
233
250
http://arxiv.org/pdf/math/0311378.pdf
http://dx.doi.org/10.1007/s10114-005-0561-1
Full functor; Separable functor; Coring
A. ARDIZZONI; S. CAENEPEEL; C. MENINI; G. MILITARU
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/93133
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