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Smoothness, regularity and complete intersection /
This short book gives complete and relatively easy proofs of well-known important results found in standard books on commutative algebra. It also serves as a friendly introduction to the powerful methods used in the Andre-Quillen homology of commutative algebras.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2010.
|
| Colección: | London Mathematical Society lecture note series ;
373. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Majadas, Javier. | |
| 245 | 1 | 0 | |a Smoothness, regularity and complete intersection / |c Javier Majadas, Antonio G. Rodicio. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2010. | ||
| 300 | |a 1 online resource (vi, 134 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 373 | |
| 504 | |a Includes bibliographical references (pages 130-133) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a This short book gives complete and relatively easy proofs of well-known important results found in standard books on commutative algebra. It also serves as a friendly introduction to the powerful methods used in the Andre-Quillen homology of commutative algebras. | |
| 505 | 0 | |a Cover; Title; Copyright; Contents; Introduction; 1 Definition and first properties of (co- )homology modules; 1.1 First definition; 1.2 Differential graded algebras; 1.3 Second definition; 1.4 Main properties; 2 Formally smooth homomorphisms; 2.1 Infinitesimal extensions; 2.2 Formally smooth algebras; 2.3 Jacobian criteria; 2.4 Field extensions; 2.5 Geometric regularity; 2.6 Formally smooth local homomorphisms of noetherian rings; 2.7 Appendix: The Mac Lane separability criterion; 3 Structure of complete noetherian local rings; 3.1 Cohen rings; 3.2 Cohen's structure theorems. | |
| 505 | 8 | |a 4 Complete intersections4.1 Minimal DG resolutions; 4.2 The main lemma; 4.3 Complete intersections; 4.4 Appendix: Kunz's theorem on regular local rings in characteristic p; 5 Regular homomorphisms: Popescu's theorem; 5.1 The Jacobian ideal; 5.2 The main lemmas; 5.3 Statement of the theorem; 5.4 The separable case; 5.5 Positive characteristic; 5.6 The module of differentials of a regular homomorphism; 6 Localization of formal smoothness; 6.1 Preliminary reductions; 6.2 Some results on vanishing of homology; 6.3 Noetherian property of the relative Frobenius. | |
| 505 | 8 | |a 6.4 End of the proof of localization of formal smoothness6.5 Appendix: Power series; Appendix: Some exact sequences; Bibliography; Index. | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Commutative algebra. | |
| 650 | 6 | |a Algèbre commutative. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Commutative algebra |2 fast | |
| 700 | 1 | |a Rodicio, Antonio G. | |
| 776 | 0 | 8 | |i Print version: |z 9786613296023 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 373. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=399269 |z Texto completo |
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