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Approximations and Endomorphism Algebras of Modules
7 Angebote vergleichen
Preise | 2012 | 2013 | 2014 | 2018 | 2021 |
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Schnitt | € 139,95 | € 159,95 | € 169,95 | € 163,64 | € 195,99 |
Nachfrage |
Approximations and Endomorphism Algebras of Modules
ISBN: 9783110199727 bzw. 3110199726, in Deutsch, Walter de Gruyter GmbH & Co.KG, neu, E-Book, elektronischer Download.
The category of all modules over a general associative ring is too complex to admit any reasonable classification. Thus, unless the ring is of finite representation type, one must limit attempts at classification to some restricted subcategories of modules. The wild character of the category of all modules, or of one of its subcategories C is often indicated by the presence of a realization theorem, that is, by the fact that any reasonable algebra is isomorphic to the endomorphism algebra of a module from C. This results in the existence of pathological direct sum decompositions and these are generally viewed as obstacles to the classification. Realization theorems have thus become important indicators of the non-classification theory of modules. In order to overcome this problem, approximation theory of modules has been developed over the past few decades. The idea here is to select suitable subcategories C whose modules can be classified, and then to approximate arbitrary modules by ones from C. These approximations are neither unique nor functorial in general, but there is always a rich supply available appropriate to the requirements of various particular applications. Thus approximation theory has developed into an important part of the classification theory of modules. In this monograph the two methods are brought together. First the approximation theory of modules is developed and some of its recent applications, notably to infinite dimensional tilting theory, are presented. Then some prediction principles from set theory are introduced and these become the principal tools in the establishment of appropriate realization theorems. The monograph starts from basic facts and gradually develops the theory towards its present frontiers. It is suitable both for graduate students interested in algebra and for experts in module and rep.
Approximations and Endomorphism Algebras of Modules
ISBN: 9783110199727 bzw. 3110199726, in Deutsch, De Gruyter, neu.
This monograph provides a thorough treatment of module theory, a subfield of algebra. The authors develop an approximation theory as well as realization theorems and present some of its recent applications, notably to infinite-dimensional combinatorics and model theory. The book is devoted to graduate students interested in algebra as well as to experts in module theory.
Approximations and Endomorphism Algebras of Modules
ISBN: 9783110199727 bzw. 3110199726, in Deutsch, De Gruyter, neu, E-Book, elektronischer Download.
Approximations and Endomorphism Algebras of Modules: This monograph provides a thorough treatment of module theory, a subfield of algebra. The authors develop an approximation theory as well as realization theorems and present some of its recent applications, notably to infinite-dimensional combinatorics and model theory. The book is devoted to graduate students interested in algebra as well as to experts in module theory. Englisch, Ebook.
Approximations and Endomorphism Algebras of Modules
ISBN: 9783110199727 bzw. 3110199726, in Deutsch, de Gruyter, Berlin/New York, Deutschland, neu.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
Approximations and Endomorphism Algebras of Modules
ISBN: 3110199726 bzw. 9783110199727, vermutlich in Englisch, Approximations and Endomorphism Algebras of Modules - eBook als pdf von Rüdiger Göbel/ Jan Trlifaj - Gruyter Walter de GmbH - 9783110199727, neu, E-Book, elektronischer Download.
Approximations and Endomorphism Algebras of Modules als eBook von Rüdiger Göbel, Jan Trlifaj
ISBN: 9783110199727 bzw. 3110199726, in Deutsch, Gruyter, Walter de GmbH, neu.
Approximations and Endomorphism Algebras of Modules ab 150.49 EURO De Gruyter Expositions in Mathematics.