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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Fontana, Marco (Editor ), Kabbaj, Salah-Eddine (Editor ), Olberding, Bruce (Editor ), Swanson, Irena (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Temas:
Commutative algebra.
Commutative rings.
Algebraic geometry.
Commutative Rings and Algebras.
Algebraic Geometry.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • - 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 a Commutative Ring (K.A. Loper)
  • 13. Integrally Closed 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).

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