Cargando…
Commutative Algebra: Constructive Methods Finite Projective Modules /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Dordrecht :
Springer Netherlands : Imprint: Springer,
2015.
|
| Edición: | 1st ed. 2015. |
| Colección: | Algebra and Applications,
20 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-94-017-9944-7 | ||
| 003 | DE-He213 | ||
| 005 | 20220118225844.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 150722s2015 ne | s |||| 0|eng d | ||
| 020 | |a 9789401799447 |9 978-94-017-9944-7 | ||
| 024 | 7 | |a 10.1007/978-94-017-9944-7 |2 doi | |
| 050 | 4 | |a QA251.3 | |
| 072 | 7 | |a PBF |2 bicssc | |
| 072 | 7 | |a MAT002010 |2 bisacsh | |
| 072 | 7 | |a PBF |2 thema | |
| 082 | 0 | 4 | |a 512.44 |2 23 |
| 100 | 1 | |a Lombardi, Henri. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Commutative Algebra: Constructive Methods |h [electronic resource] : |b Finite Projective Modules / |c by Henri Lombardi, Claude Quitté. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Dordrecht : |b Springer Netherlands : |b Imprint: Springer, |c 2015. | |
| 300 | |a XLIX, 996 p. 80 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Algebra and Applications, |x 2192-2950 ; |v 20 | |
| 505 | 0 | |a Examples -- The basic local-global principle and systems of linear equations -- The method of undetermined coefficients -- Finitely presented modules -- Finitely generated projective modules.-Examples -- The basic local-global principle and systems of linear equations -- The method of undetermined coefficients -- Finitely presented modules -- Finitely generated projective modules, 1 -- Strictly finite algebras and Galois algebras -- The dynamic method -- Flat modules -- Local rings, or just about -- Finitely generated projective modules, 2 -- Distributive lattices, lattice-groups -- Prüfer and Dedekind rings -- Krull dimension -- The number of generators of a module -- The local-global principle -- Extended projective modules -- Suslin's stability theorem -- Annex -- Constructive logic. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Commutative algebra. | |
| 650 | 0 | |a Commutative rings. | |
| 650 | 0 | |a Algebraic fields. | |
| 650 | 0 | |a Polynomials. | |
| 650 | 0 | |a Algebras, Linear. | |
| 650 | 0 | |a Computer science-Mathematics. | |
| 650 | 1 | 4 | |a Commutative Rings and Algebras. |
| 650 | 2 | 4 | |a Field Theory and Polynomials. |
| 650 | 2 | 4 | |a Linear Algebra. |
| 650 | 2 | 4 | |a Symbolic and Algebraic Manipulation. |
| 700 | 1 | |a Quitté, Claude. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9789401799430 |
| 776 | 0 | 8 | |i Printed edition: |z 9789401799454 |
| 776 | 0 | 8 | |i Printed edition: |z 9789402403992 |
| 830 | 0 | |a Algebra and Applications, |x 2192-2950 ; |v 20 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-94-017-9944-7 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||