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.

Detalles Bibliográficos
Autores: Herrmann, Manfred, 1932-, Ribbe, J., Zarzuela, Santiago
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1994
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/7763
Acceso en línea:https://hdl.handle.net/2445/7763
Access Level:acceso abierto
Palabra clave:Anells commutatius
Àlgebra commutativa
Anells locals
Commutative rings
Commutative algebra
Local rings
Descripción
Sumario: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.