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Core of projective dimension one modules

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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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Authors and Affiliations

  1. Department of Mathematics, University of Kentucky, Lexington, KY, 40506, USA

    Alberto Corso

  2. Department of Mathematics, University of Notre Dame, Notre Dame, IN, 46556, USA

    Claudia Polini

  3. Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA

    Bernd Ulrich

Authors
  1. Alberto Corso
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  2. Claudia Polini
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  3. Bernd Ulrich
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Corresponding author

Correspondence to Alberto Corso.

Additional information

The first author was partially supported by a Faculty Research Fellowship from the University of Kentucky. The second and third authors gratefully acknowledge partial support from the NSF.

Mathematics Subject Classification (2000): Primary 13A30, 13B21; Secondary 13C99

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Corso, A., Polini, C. & Ulrich, B. Core of projective dimension one modules. manuscripta math. 111, 427–433 (2003). https://doi.org/10.1007/s00229-002-0329-1

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  • DOI: https://doi.org/10.1007/s00229-002-0329-1

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