| 对偶余模函子()°和余反射余模 |
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| 引用本文： | 郝志峰,冯良贵. 对偶余模函子()°和余反射余模[J]. 数学学报, 1998, 41(6): 0. DOI: cnki:ISSN:0583-1431.0.1998-06-022 |
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| 作者姓名： | 郝志峰 冯良贵 |
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| 作者单位： | 华南理工大学应用数学系!广州，510641，国防科技大学七系!长沙，410073 |
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| 基金项目： | 广东省自然科学基金!970472 |
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| 摘 要： | 本文给出对偶余模M°的结构刻划及（）°作为逆变函子的左正合性．同时引入余反射余模描述余反射余代数，由此研究余反射余代数的同调性质，证明当char（F）＝0时，F[x1，...，xn]°上的Serre猜测是成立的，即F[x1，...，xn]°的有限余生成内射余模均为余自由的．
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| 关 键 词： | 对偶余模 余反射余模 有限余生成内射余模 余反射余代数 |
The Functor ()°of Dual Comodules and Coreflexive Comodules |
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| Hao Zhifeng. The Functor ()°of Dual Comodules and Coreflexive Comodules[J]. Acta Mathematica Sinica, 1998, 41(6): 0. DOI: cnki:ISSN:0583-1431.0.1998-06-022 |
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| Authors: | Hao Zhifeng |
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| Affiliation: | Hao Zhifeng (Department of Applied Mathemotics, South China University of Technology, Guangzhou 510641, China) Feng Lianggui (Department of System and Engineering Mathematics, National University of Defence Technology, Changsha 410073, China) |
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| Abstract: | In this paper we show the structure of dual comodule M0. We proof that the contravariant functor ()° is left exactness. We also introduce the coreflexive comodule to investigate the coreflexive coalgebras. Then we study some homological properties for corefiexive coalgebras. Finally let char (F) = 0 and C = F[x1, x2,...,xn]°, we show that every finitely cogenerated injective right C-comodules in cofree. |
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| Keywords: | Dual comodule Coreflexive comodule Finitely cogenerated injective comodule Coreflexive coalgebras |
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