Core of projective dimension one modules |
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| Authors: | Alberto Corso Claudia Polini Bernd Ulrich |
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| Affiliation: | (1) Department of Mathematics, University of Kentucky, Lexington, KY 40506, USA;(2) Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA;(3) Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA |
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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.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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