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Commutative algebra: constructive methods : finite projective modules / Henri Lombardi, Claude Quitté
| Commutative algebra: constructive methods : finite projective modules / Henri Lombardi, Claude Quitté |
| Autore | Lombardi, Henri |
| Pubbl/distr/stampa | Dordrecht, : Springer, 2015 |
| Descrizione fisica | XLIX, 996 p. : ill. ; 24 cm |
| Altri autori (Persone) | Quitté, Claude |
| Soggetto topico |
13-XX - Commutative algebra [MSC 2020]
14Qxx - Computational aspects in algebraic geometry [MSC 2020] 03Fxx - Proof theory and constructive mathematics [MSC 2020] 06Dxx - Distributive lattices [MSC 2020] |
| Soggetto non controllato |
Commutative algebra
Constructive Methods Dedekind-Mertens Lemma Finitely Generated Projective Modules Kronecker Theorem Local-Global Principles Matrix theory |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0114038 |
Lombardi, Henri
|
||
| Dordrecht, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Commutative algebra: constructive methods : finite projective modules / Henri Lombardi, Claude Quitté
| Commutative algebra: constructive methods : finite projective modules / Henri Lombardi, Claude Quitté |
| Autore | Lombardi, Henri |
| Pubbl/distr/stampa | Dordrecht, : Springer, 2015 |
| Descrizione fisica | XLIX, 996 p. : ill. ; 24 cm |
| Altri autori (Persone) | Quitté, Claude |
| Soggetto topico |
03Fxx - Proof theory and constructive mathematics [MSC 2020]
06Dxx - Distributive lattices [MSC 2020] 13-XX - Commutative algebra [MSC 2020] 14Qxx - Computational aspects in algebraic geometry [MSC 2020] |
| Soggetto non controllato |
Commutative Algebra
Constructive Methods Dedekind-Mertens Lemma Finitely Generated Projective Modules Kronecker Theorem Local-Global Principles Matrix theory |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00114038 |
|
Lombardi, Henri
|
||
| Dordrecht, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||