Commutative algebra : noetherian and non-noetherian perspectives
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...
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| Format: | Livre numérique |
| Sprog: | Anglais |
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New York, NY :
Springer New York : Springer e-books
[20..].
Cham : Springer Nature |
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| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Description d'après consultation du 27 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Commutative algebra, noetherian and non-noetherian persperctives, Marco Fontana, Salah-Eddine Kabbaj, Bruce Olberding, Irena Swanson editors, 2011, New York, Springer, 1 vol. (VIII-492 p.), 978-1-4419-6989-7 |
Indholdsfortegnelse:
- - 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)