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Corings and Comodules

✍ Scribed by Brzezinski T., Wisbauer R.


Book ID
127447324
Publisher
Cambridge University Press
Year
2003
Tongue
English
Weight
5 MB
Series
London Mathematical Society lecture note series 309
Category
Library
City
Cambridge; New York
ISBN-13
9780521539319

No coin nor oath required. For personal study only.

✦ Synopsis


This is the first extensive treatment of the theory of corings and their comodules


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After describing the module-theoretic aspects of coalgebras over commutative rings, this volume defines corings as coalgebras for non-commutative rings. Topics covered include module-theoretic aspects of corings (such as the relation of comodules to special subcategories of modules: sigma-type categ

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We study the various categories of corings, coalgebras, and comodules from a categorical perspective. Emphasis is given to the question which properties of these categories can be seen as instances of general categorical resp. algebraic results. However, we also obtain new results concerning the exi