Résumé
- Ideal for class teaching, it contains over 100 exercises
- Unique text providing a full treatment of the subject of maximal orders
- Provides a useful source of material otherwise only available in scattered research papers
'Reiner's book gives by far the most extensive and most
readable account available of the classical theory of
maximal orders. The book has been written with great care,
and is a pleasure to read. Unlike many books at such an
advanced level, it contains many interesting exercises,
with hints where appropriate. It is essential to the
library of every working algebraist. '
-Bulletin of the American Mathematical Society
·
'The book certainly fills a gap in the mathematical
literature, since no modern text-book on maximal orders has
been available. The author has succeeded very well in
giving a clear and easily accessible presentation of the
subject. '
-Mathematical Reviews ·
'This book is unique in its role of providing a
self-contained and easily accessible introduction to the
theory of orders and maximal orders in both the local and
the global setting. Readers of the book will also find it
valuable as a guide to many basic algebraic notions such as
localizations, completions, the Jacobson radical, and
Morita theory. The text is well-written and complete, and
well-chosen exercises are offered at the end of each
chapter. The book is well-suited as a text for graduate
courses in representation theory, and for many years has
filled a gap in the literature in the area of orders and
maximal orders. '
-Professor Tsit-Yuen Lam, University of California at
Berkeley.
This is a reissue of a classic text previously published by the LMS, aimed at beginning postgraduate students in algebra and number theory. It gives a well-paced introduction to topics central to several active areas of mathematical research, and provides a very helpful background reference to researchers.
Readership: Graduate students and researchers in algebra, number theory, group theory and ring theory.
Contents
- Algebraic Preliminaries
- Orders
- Maximal Orders in Skewfields (Local Case)
- Morita Equivilence
- Maximal Orders Over Discrete ValuationRrings
- Maximal Orders Over Dedekind Domains
- Crossed-Product Algebras
- Simple Algebras Over Global Fields
- Hereditary Orders
L'auteur - Irving Reiner
Irving Reiner, (Late) Professor of Mathematics,
University of Illinois, Urbana-Champaign.
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Oxford University Press |
| Auteur(s) | Irving Reiner |
| Parution | 08/04/2003 |
| Édition | 2eme édition |
| Nb. de pages | 408 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 707g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780198526735 |
| ISBN13 | 978-0-19-852673-5 |
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