Naturally full functors in nature
环与代数
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/0311378,
title = {Naturally full functors in nature},
author = {A. Ardizzoni and S. Caenepeel and C. Menini and G. Militaru},
journal= {arXiv preprint arXiv:math/0311378},
year = {2007}
}
备注
27 pages