Core of projective dimension onemodules

2002/10/04 by Alberto Corso, Corso, Alberto, Claudia Polini +3
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras #math.AC

paper · pdf · doi:10.48550/arxiv.math/0210072

7 pages, to appear in Manu. Math

arxiv created 2002/10/04 · openalex publication_date 2002/10/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The core of a projective dimension one module is computed explicitly in terms of Fitting ideals. In particular, our formula recovers previous work by R. Mohan on integrally closed torsionfree modules over a two-dimensional regular local ring.

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