On residually S₂ ideals and projective dimension one modules

2002/10/02 by Alberto Corso, Claudia Polini
Mathematics · #math.AC

paper · pdf

published as Proc. Amer. Math. Soc. 129 (2001), 1309-1315 · 8 pages

arxiv created 2002/10/02 · arxiv updated 2009/11/30

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.

Related

• Core of projective dimension onemodules
• Residually faithful modules and the Cohen-Macaulay type of idealizations
• Essentially Reductive Hilbert Modules II
• Residual Intersections and Core of Modules
• Integral closure of 1-dimensional rings