Commutative Algebra: Constructive Methods
Language: English
Published by Springer Netherlands, 2015
- Hardcover
- New
Condition: New
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Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Brings a fresh approach to traditional theories such as Galois theory and the Dedekind ringsProvides a systematic constructive approach to various basic concepts of commutative algebraWritten in a lively and engaging styleBrings .
Seller Inventory # 36871477
- Title
- Commutative Algebra: Constructive Methods
- Author
- Henri Lombardi|Claude Quitté
- Publisher
- Springer Netherlands
- Publication year
- 2015
- Condition
- New
- Binding
- Gebunden
- Language
- English
- ISBN 10
- 9401799431
- ISBN 13
- 9789401799430
- Dimensions
- 5.8 x 24.2 x 16.5
- Series
- Book 20 of 29: Algebra and Applications
Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra. It takes a constructive viewpoint in commutative algebra and studies algorithmic approaches alongside several abstract classical theories. Indeed, it revisits these traditional topics with a new and simplifying manner, making the subject both accessible and innovative.
The algorithmic aspects of such naturally abstract topics as Galois theory, Dedekind rings, Prüfer rings, finitely generated projective modules, dimension theory of commutative rings, and others in the current treatise, are all analysed in the spirit of the great developers of constructive algebra in the nineteenth century.
This updated and revised edition contains over 350 well-arranged exercises, together with their helpful hints for solution. A basic knowledge of linear algebra, group theory, elementary number theory as well as the fundamentals of ring and module theory is required. Commutative Algebra: Constructive Methods will be useful for graduate students, and also researchers, instructors and theoretical computer scientists.
"Synopsis" may belong to another edition of this title.
About the Author
Henri Lombardi is a researcher in constructive mathematics, real algebra and algorithmic complexity. Since 2003, with Marie-Françoise Roy and Thierry Coquand, he has developed the international group MAP (Mathematics, Algorithms, Proofs). He has published Épistémologie mathématique, (Ellipse, 2011), and Méthodes matricielles. Introduction à la complexité algébrique, (Springer, 2003, in collaboration with Jounaïdi Abdeljaoued).
Claude Quitté is a researcher in effective commutative algebra, computer algebra and computer science. He has published Algorithmique algébrique, (Masson, 1991) in collaboration with Patrice Naudin.
Henri Lombardi and Claude Quitté also published together with Maria-Gema Díaz-Toca the book Modules sur les anneaux commutatifs (Calvage & Mounet, 2014).
"About the title" may belong to another edition of this title.
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