| Naturally Full Functors in Nature |
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| 作者姓名： | A. ARDIZZONI C. MENINI S. CAENEPEEL G. MILITARU |
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| 作者单位： | [1]Department of Mathematics, University of Ferrara, Via Machiavelli 35, 1-44100 Ferrara, Italy [2]Faculty of Engineering Sciences, Vrije Universiteit Brussel, VUB, B-1050 Brussels, Belgium [3]Faculty of Mathematics, University of Bucharest, Str. Academiei 14, RO-70109 Bucharest 1, Romania |
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| 基金项目： | S. Caencpeel and G. Milltaru are supported by the bilateral project ＂Hopf Algebras in Algebra, Topology, Geometry and Physics＂ of the Flemish and Romanian governments; This paper was written while C, Menini was member of G.N.S.A.G.A, with partial financial support from M.I.U.R.G. Militaru was partially supported by I.N.D.A.M, while he was visiting professor at University of Ferrara |
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| 摘 要： |
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| 关 键 词： | 满函子 可分函子 模数 余模 扩展性 |
| 收稿时间： | 2003-11-13 |
| 修稿时间： | 2003-11-132004-06-18 |
Naturally Full Functors in Nature |
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| A. ARDIZZONI C. MENINI S. CAENEPEEL G. MILITARU.Naturally Full Functors in Nature[J].Acta Mathematica Sinica,2006,22(1):233-250. |
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| Authors: | A Ardizzoni C Menini S Caenepeel G Militaru |
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| Institution: | (1) Department of Mathematics, University of Ferrara, Via Machiavelli 35, I-44100 Ferrara, Italy;(2) Faculty of Engineering Sciences, Vrije Universiteit Brussel, VUB, B-1050 Brussels, Belgium;(3) Faculty of Mathematics, University of Bucharest, Str. Academiei 14, RO-70109 Bucharest 1, Romania |
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| 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 fimctor, 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. |
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| Keywords: | Full functor Separable functor Coring |
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