Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations

• Κύριοι συγγραφείς: Caenepeel, Stefaan (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Militaru, Gigel (http://id.loc.gov/vocabulary/relators/aut), Zhu, Shenglin (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Έκδοση: 1st ed. 2002.
• Σειρά: Lecture Notes in Mathematics, 1787
• Θέματα: Associative rings.; Rings (Algebra).; Associative Rings and Algebras.

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 se...

Πίνακας περιεχομένων:

• Part I: Entwined modules and Doi-Koppinen Hopf modules
• 1. Generalities
• 2. Doi-Koppinen Hopf modules and entwined modules
• 3. Frobenius and separable functors for entwined modules
• 4. Applications
• Part II: Nonlinear equations
• 5. Yetter-Drinfeld modules and the quantum Yang-Baxter equation
• 6. Hopf modules and the pentagon equation
• 7. Long dimodules and the Long equation
• 8. The Frobenius-Separability equation
• References
• Index.