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Title: On corings and comodules (English)
Author: Porst, Hans-E.
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 42
Issue: 4
Year: 2006
Pages: 419-425
Summary lang: English
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Category: math
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Summary: 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. (English)
Keyword: coalgebras
Keyword: comodules
Keyword: locally presentable categories
MSC: 16W30
MSC: 18C35
idZBL: Zbl 1152.16030
idMR: MR2283022
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Date available: 2008-06-06T22:49:00Z
Last updated: 2012-05-10
Stable URL: http://hdl.handle.net/10338.dmlcz/108017
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Reference: [4] Brzezinski T., Wisbauer R.: Corings and Comodules.Cambridge University Press, Cambridge (2003). Zbl 1035.16030, MR 2012570
Reference: [5] Dascalescu S., et al.: Hopf Algebras - An Introduction.Marcel Dekker, New York – Basel (2001). Zbl 0962.16026, MR 1786197
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Reference: [7] Makkai M., Paré. R.: Accessible categories: the foundations of categorical model theory.Contemp. Math. 104. Amer. Math. Soc., Providence (1989). Zbl 0703.03042, MR 1031717
Reference: [8] Porst H.–E.: Fundamental Constructions for Coalgebras, Corings, and Comodules.preprint (2006). Zbl 1145.16025, MR 2383288
Reference: [9] Scheja G., Storch U.: Lehrbuch der Algebra.Teil 2, Teubner, Stuttgart (1988). Zbl 0638.00001, MR 0934019
Reference: [10] Sweedler M. E.: Hopf Algebras.Benjamin, New York (1969). Zbl 0203.31601, MR 0252485
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