0 Ju l 2 00 4 NATURALLY FULL FUNCTORS IN NATURE

نویسندگان

  • A. ARDIZZONI
  • S. CAENEPEEL
  • C. MENINI
  • G. MILITARU
چکیده

We introduce and discuss the notion of naturally full func-tor. 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 func-tors between module categories and between categories of comodules over a coring are naturally full.

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N ov 2 00 3 NATURALLY FULL FUNCTORS IN NATURE

We introduce and discuss the notion of naturally full func-tor. 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 func-tors between module categories and between c...

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تاریخ انتشار 2004