The Cohen-Macaulay and Gorenstein Rees Algebras Associated to Filtrations - Couverture souple

American Mathematical Society

Couverture souple

ISBN 10 : 0821825844 ISBN 13 : 9780821825846

Editeur : American Mathematical Society, 1994

Synopsis

This monograph consists of two parts. Part I investigates the Cohen-Macaulay and Gorenstein properties of symbolic Rees algebras for one-dimensional prime ideals in Cohen-Macaulay local rings. Practical criteria for these algebras to be Cohen-Macaulay and Gorenstein rings are described in terms of certain elements in the prime ideals. This framework is generalized in Part II to Rees algebras R(F) and graded rings G(F) associated to general filtrations of ideals in arbitrary Noetherian local rings. Goto and Nishida give certain cohomological characterizations for algebras R(F) to be Cohen-Macaulay or Gorenstein rings in connection with the corresponding ring-theoretic properties o fG(F). In this way, readers follow a history of the development of the ring theory of Rees algebras. The book raises many important open questions.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1994
• Langue: anglais
• ISBN 10: 0821825844
• ISBN 13: 9780821825846
• Reliure: Broché
• Nombre de pages: 134
• Coordonnées du fabricant: non disponible
• Personne responsable: Mare Nostrum Group B.V.; gpsr@mare-nostrum.co.uk; ; Doelen 72; Breda; 4831 GR; Pays-Bas