Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles...
Détails bibliographiques
| Auteurs principaux : |
Fontana Marco
(Éditeur scientifique),
Olberding Bruce
(Éditeur scientifique),
Kabbaj Salah-Eddine
(Éditeur scientifique),
Swanson Irena
(Éditeur scientifique) |
| Format : |
Livre |
| Langue : |
anglais |
| Titre complet : |
Commutative algebra : noetherian and non-noetherian persperctives / Marco Fontana, Salah-Eddine Kabbaj, Bruce Olberding, Irena Swanson editors |
| Publié : |
New York, Dordrecht, Heidelberg, London :
Springer
, C 2011
|
| Description matérielle : |
1 vol. (VIII-492 p.) |
| Contenu : |
- Introduction. 1. Principal-like Ideals and Related Polynomial Content Conditions (D.D. Anderson). 2. Zero-divisor Graphs in Commutative Rings (D.F. Anderson, M. Axtell, J. Stickles). 3. Class Semigroups and T-class Semigroups of Domains (S. Bazzoni, S. Kabbaj). 4. Forcing Algebras, Syzygy Bundles, and Tight Closure (H. Brenner). 5. Beyond Totally Reflexive Modules and Back: A Survey on Gorenstein Dimensions (L.W. Christensen, H.B. Foxby, H. Holm). 6. On V-domains: A Survey (M. Fontana, M. Zafrullah). 7. Tensor Products of Algebras Over a Field (H. Haghighi, M. Tousi, S. Yassemi). 8. Multiplicative Ideal Theory in the Context of Commutative Monoids (F. Halter-Koch). 9. Projectively-Full Ideals and Compositions of Consistent Systems of Rank One Discrete Valuation Rings: A Survey (W. Heinzer, J. Ratliff, D. Rush). 10. Direct-sum Behavior of Modules Over One-dimensional Rings (R. Karr, R. Wiegand). 11. The Defect (F.V. Kuhlmann). 12. The use of ultrafilters to study the structure of Prüfer and Prüfer-like rings (K.A. Loper). 13. Intersections of valuation overrings of two-dimensional Noetherian domains (B. Olberding). 14. Almost Perfect Domains and Their Modules (L. Salce). 15. Characteristic p Methods in Characteristic Zero via Ultraproducts (H. Schoutens). 16. Rees Valuations (I. Swanson). 17. Weak Normality and Seminormality (M. Vitulli) |
| Sujets : |
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| Documents associés : |
Autre format:
Commutative algebra
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