9780521315265: LMS: 145 Homology in Local Algebra
Brossura
ISBN 10: 0521315263 ISBN 13: 9780521315265
Casa editrice: Cambridge University Press, 2008

Sinossi

This book presents an account of several conjectures arising in commutative algebra from the pioneering work of Serre and Auslander-Buchsbaum.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Descrizione del libro

This book presents an account of several conjectures arising in commutative algebra from the pioneering work of Serre and Auslander-Buchsbaum. The approach is via Hochster's 'Big Cohen-Macaulay modules', though the complementary view point of Peskine-Szpiro and Roberts, who study the homology of certain complexes, is not neglected.

Contenuti

1. Homological preliminaries; 2. Adic topologies and completions; 3. Injective envelopes and minimal injective resolutions; 4. Local cohomology and koszul complexes; 5. (Pre-) Regular sequences and depth; 6. Exactness of complexes and linear equations over rings; 7. Comparing homological invariants; 8. Dimensions; 9. Cohen-Macauley modules and regular rings; 10. Gorenstein rings, local duality, and the direct summand conjecture; 11. Frobenius and big Cohen-Macauley modules; 12. Big Cohen-Macaulay modules in equal charecteristic 0; 13. Uses of big Cohen-Maculay Modules.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Cambridge University Press
Data di pubblicazione
2008
Lingua
Inglese
ISBN 10 
0521315263
ISBN 13 
9780521315265
Rilegatura
Copertina flessibile
Numero di pagine
324
Contatto del produttore
non disponibile
Persona responsabile
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
Francia