Comatrix corings: Galois corings, descent theory, and a structure theorem for cosemisimple corings

El Kaoutit L.; Gomez-Torrecillas J.

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Comatrix corings: Galois corings, descent theory, and a structure theorem for cosemisimple corings

机译：Comatrix取心：Galois取心，下降理论和半准取取心的结构定理

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We study the corings whose category of right comodules has a finitely generated projective generator. In order to extricate the structure of these corings, we introduce the notion of comatrix coring. Comatrix corings allow as well to give a complete description of all cosemisimple corings. [References: 21]

机译：我们研究正确的协模类别具有有限生成的射影生成器的取芯。为了解开这些取芯的结构，我们介绍了comatrix取芯的概念。 Comatrix取芯也可以对所有半简化取芯进行完整描述。 [参考：21]

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《Mathematische Zeitschrift》 |2003年第4期|共20页
作者
El Kaoutit L.; Gomez-Torrecillas J.;
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正文语种 eng
中图分类数学;
关键词
Cohomology; Extensions;

机译：同调;扩展;

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1. Comatrix corings: Galois corings, descent theory, and a structure theorem for cosemisimple corings [J] . L. El Kaoutit, J. Gómez-Torrecillas Mathematische Zeitschrift . 2003,第4期

机译：Comatrix取心：Galois取心，下降理论和准半取取心的结构定理
2. Galois theory for comatrix corings: Descent theory, Morita theory, Frobenius and separability properties [J] . Caenepeel S, De Groot E, Vercruysse J Transactions of the American Mathematical Society . 2007,第1期

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7. Comatrix corings: Galois corings, descent theory, and a structure theorem for cosemisimple corings [O] . L. El Kaoutit, J. Gómez-torrecillas 2012

机译：Comatrix corings：Galois corings，血统理论和cosemisimple corings的结构定理

Comatrix corings: Galois corings, descent theory, and a structure theorem for cosemisimple corings

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