On the Gorenstein property of rees and form rings of power of ideals

In this paper we determine the exponents n for which the Rees ring R(In) and the form ring grA (In) are Gorenstein rings, where I is a strongly Cohen-Macaulay ideal of linear type (including complete and almost complete intersections) or an m-primary ideal in a local ring A with maximal ideal m.

Bibliographic Details
Authors: Herrmann, Manfred, 1932-, Ribbe, J., Zarzuela, Santiago
Format: article
Status:Published version
Publication Date:1994
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/7763
Online Access:https://hdl.handle.net/2445/7763
Access Level:Open access
Keyword:Anells commutatius
Àlgebra commutativa
Anells locals
Commutative rings
Commutative algebra
Local rings
Description
Summary:In this paper we determine the exponents n for which the Rees ring R(In) and the form ring grA (In) are Gorenstein rings, where I is a strongly Cohen-Macaulay ideal of linear type (including complete and almost complete intersections) or an m-primary ideal in a local ring A with maximal ideal m.