ON CORINGS AND COMODULES

被引：0

作者：

Porst, Hans-E. ^{[1
]}

机构：

[1] Univ Bremen, Dept Math, D-28359 Bremen, Germany

来源：

ARCHIVUM MATHEMATICUM | 2006年 / 42卷 / 04期

关键词：

coalgebras; comodules; locally presentable categories;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that the categories of R-coalgebras for a commutative unital ring R and the category of A-corings for some R-algebra A as well as their respective categories of comodules are locally presentable.

引用

页码：419 / 425

页数：7

共 50 条

[1] Modules and comodules for corings
Wisbauer R.
Journal of Mathematical Sciences, 2007, 142 (2) : 1899 - 1914
[2] On the category of comodules over corings
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MATHEMATICS AND MATHEMATICS EDUCATION, 2002, : 325 - 336
[3] Fundamental constructions for coalgebras, corings, and comodules
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APPLIED CATEGORICAL STRUCTURES, 2008, 16 (1-2) : 223 - 238
[4] QUASI FROBENIUS CORINGS AS GALOIS COMODULES
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ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2008, 33 (2C) : 529 - 551
[5] Fundamental Constructions for Coalgebras, Corings, and Comodules
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Applied Categorical Structures, 2008, 16 : 223 - 238
[6] MORITA THEORY FOR COMODULES OVER CORINGS
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COMMUNICATIONS IN ALGEBRA, 2009, 37 (09) : 3207 - 3247
[7] Fully Coprime Comodules and Fully Coprime Corings
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Applied Categorical Structures, 2006, 14 : 379 - 409
[8] COINTEGRATIONS, RELATIVE COHOMOLOGY FOR COMODULES, AND COSEPARABLE CORINGS
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[9] Fully coprime comodules and fully coprime corings
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APPLIED CATEGORICAL STRUCTURES, 2006, 14 (5-6) : 379 - 409
[10] A note on coinduction functors between categories of comodules for corings
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Annali dell’Università di Ferrara, 2005, 51 (1): : 151 - 172

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