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Lieferstatus:	i.d.R. innert 7-14 Tagen versandfertig
Veröffentlichung:	Juli 2002
Genre:	Schulbücher
	Algebra / Associative rings / Associative Rings and Algebras / B / equation / Mathematics and Statistics / Rings (Algebra) / Yetter-Drinfeld module
ISBN:	9783540437826
EAN-Code:	9783540437826
Verlag:	Springer EN
Einband:	Kartoniert
Sprache:	English
Dimensionen:	H 229 mm / B 152 mm / D 20 mm
Gewicht:	538 gr
Seiten:	354
Illustration:	XIV, 354 p.
Zus. Info:	EUDR exemption - product or manufacturing materials placed on the market prior to 31.12.2025.
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.