Frobenius and Separable Functors for Generalized Module Categories and Nonlin...

Description: Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations, Paperback by Caenepeel, Stefaan; Militaru, Gigel; Zhu, Shenglin, ISBN 3540437827, ISBN-13 9783540437826, Brand New, Free shipping in the US 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. Th 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 expos 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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Book Title: Frobenius and Separable Functors for Generalized Module Categorie

Author: Caenepeel, Stefaan; Militaru, Gigel; Zhu, Shenglin

Language: English