On the structure of the canonical module of the Rees algebra and the associated graded ring of an ideal

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1992 Spain English Publisher:Universitat Autonoma de BarcelonaJournal:Publicacions Matemàtiques, volume 36, pages 1,075-1,084 (issn: 0214-1493,

Copyright policy )

Authors: Zarzuela, Santiago;

doi: 10.5565/publmat_362b92_22

handle: 2445/132434

On the structure of the canonical module of the Rees algebra and the associated graded ring of an ideal

- Summary
- Subjects
- Metrics

Abstract

In this note we give the description of a morphism related with the structure of the canonocal module of the Rees algebra R(I) of an ideal I in a local ring . As an application we obtain Ikeda's criteria for the Gorensteinness of R(I) and a result of IierzogSimis-Vasconcelos characterizing when the canonical module of R(I) has the expected form.

Country

Spain

Related Organizations

Autonomous University of Barcelona
Spain
University of Barcelona
Spain

Keywords

Algebraic geometry, Rees algebra, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Geometria algebraica, Structure, classification theorems for modules and ideals in commutative rings, Cohen-Macaulay modules, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Commutative rings, Anells commutatius, Graded rings

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	4
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average