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Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations (Lecture Notes in Mathematics, 1787) - Softcover
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Doi-Koppinen Hopf modules and entwined modules unify various kinds of modules that have been intensively studied over the past decades, such as Hopf modules, graded modules, Yetter-Drinfeld modules. The book presents a unified theory, with focus on categorical concepts generalizing the notions of separable and Frobenius algebras, and discussing relations with smash products, Galois theory and descent theory. Each chapter of Part II is devoted to a particular nonlinear equation. The exposé is organized in such a way that the analogies between the four are clear: the quantum Yang-Baxter equation is related to Yetter-Drinfeld modules, the pentagon equation to Hopf modules, and the Long equation to Long dimodules. The Frobenius-separability equation provides a new viewpoint to Frobenius and separable algebras.
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- PublisherSpringer
- Publication date2002
- ISBN 10 3540437827
- ISBN 13 9783540437826
- BindingPaperback
- Number of pages368
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Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations (Lecture Notes in Mathematics) by Zhu, Shenglin, Militaru, Gigel, Caenepeel, Stefaan [Paperback ]
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Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations
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Springer Berlin Heidelberg, 2002
ISBN 10: 3540437827
ISBN 13: 9783540437826
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Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations
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Springer Berlin Heidelberg Jul 2002, 2002
ISBN 10: 3540437827
ISBN 13: 9783540437826
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Doi-Koppinen Hopf modules and entwined modules unify various kinds of modules that have been intensively studied over the pastdecades, such as Hopf modules, graded modules, Yetter-Drinfeld modules. The book presents a unified theory, with focus on categorical concepts generalizing the notions of separable and Frobenius algebras, and discussing relations with smash products, Galois theory and descent theory. Each chapter of Part II is devoted to a particular nonlinear equation. The exposé is organized in such a way that the analogies between the four are clear: the quantum Yang-Baxter equation is related to Yetter-Drinfeld modules, the pentagon equation to Hopf modules, and the Long equation to Long dimodules. The Frobenius-separability equation provides a new viewpoint to Frobenius and separable algebras. 372 pp. Englisch. Seller Inventory # 9783540437826
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