On residually S2 ideals and projective dimension one modules

Alberto Corso; Claudia Polini

doi:10.1090/s0002-9939-00-05696-3

On residually S₂ ideals and projective dimension one modules

Alberto Corso, Claudia Polini

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We prove that certain modules are faithful. This enables us to draw consequences about the reduction number and the integral closure of some classes of ideals.

Original language	English
Pages (from-to)	1309-1315
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	129
Issue number	5
DOIs	https://doi.org/10.1090/s0002-9939-00-05696-3
State	Published - 2001

Keywords

Gs properties
Integral closure of ideals
Reductions and reduction number of ideals
Rees algebras of modules
Residual intersections

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1090/s0002-9939-00-05696-3

Cite this

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title = "On residually S2 ideals and projective dimension one modules",

abstract = "We prove that certain modules are faithful. This enables us to draw consequences about the reduction number and the integral closure of some classes of ideals.",

keywords = "Gs properties, Integral closure of ideals, Reductions and reduction number of ideals, Rees algebras of modules, Residual intersections",

author = "Alberto Corso and Claudia Polini",

year = "2001",

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language = "English",

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AU - Polini, Claudia

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KW - Gs properties

KW - Integral closure of ideals

KW - Reductions and reduction number of ideals

KW - Rees algebras of modules

KW - Residual intersections

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