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Corings with Decomposition and Semiperfect Corings

✍ Scribed by L. El Kaoutit; J. Gómez-Torrecillas


Book ID
106341810
Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
462 KB
Volume
12
Category
Article
ISSN
1386-923X

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📜 SIMILAR VOLUMES


Corings and comodules
✍ Tomasz Brzezinski, Robert Wisbauer 📂 Library 📅 2003 🏛 Cambridge University Press 🌐 English ⚖ 2 MB

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

Corings and Comodules
✍ Brzezinski T., Wisbauer R. 📂 Library 📅 2003 🏛 Cambridge University Press 🌐 English ⚖ 5 MB

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

Corings over rings with local units
✍ L. El Kaoutit 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 280 KB

## Abstract We show that the bicategory whose 0‐cells are corings over rings with local units is bi‐equivalent to the bicategory of comonads in (right) unital modules whose underlying functors are right exact and preserve direct sums. A base ring extension of a coring by an adjunction is introduced