Complete intersection dimension |
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| Authors: | Luchezar L. Avramov Vesselin N. Gasharov Irena V. Peeva |
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| Affiliation: | (1) Department of Mathematics, Purdue University, 47907 West Lafayette, Indiana;(2) Department of Mathematics, Brandeis University, 02254 Waltham, Massachusetts;(3) Department of Mathematics, Brandeis University, 02254 Waltham, Massachusetts |
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| Abstract: | A new homological invariant is introduced for a finite module over a commutative noetherian ring: its CI-dimension. In the local case, sharp quantitative and structural data are obtained for modules of finite CI-dimension, providing the first class of modules of (possibly) infinite projective dimension with a rich structure theory of free resolutions. The first author was partly supported by NSF Grant No. DMS-9102951. |
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