Naturally full functors in nature

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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.
27 pages

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Rings and Algebras, 16W30

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http://salesiana.dossiersoluciones.com/handle/123456789/69294

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311378
 http://arxiv.org/abs/math/0311378

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arXiv