Naturally full functors in nature

Details Naturally full functors in nature Naturally full functors in nature

2003-11-21

arxiv.org/abs/math/0311378v2

Mathematics

Rings and Algebras

27 pages

Scientific paper

We introduce and discuss the notion of naturally full functor. The definition is similar to the definition of 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 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.

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