Commutative algebra : constructive methods : finite projective modules / Henri Lombardi, Claude Quitté.
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 th...
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| Main Authors: | , |
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| Other Authors: | |
| Format: | Ebook |
| Language: | English French |
| Published: |
Dordrecht :
Springer,
2015.
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| Series: | Algebras and applications ;
volume 20. |
| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | 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. |
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| Item Description: | "English translation by Tania K. Roblot.". |
| Physical Description: | 1 online resource (xlix, 996 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9401799431 9789401799430 940179944X 9789401799447 |
| ISSN: | 1572-5553 ; |