On the Cohen-Macaulay modules of graded subrings
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- by Douglas Hanes PDF
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Abstract:
We give several characterizations for the linearity property for a maximal Cohen-Macaulay module over a local or graded ring, as well as proofs of existence in some new cases. In particular, we prove that the existence of such modules is preserved when taking Segre products, as well as when passing to Veronese subrings in low dimensions. The former result even yields new results on the existence of finitely generated maximal Cohen-Macaulay modules over non-Cohen-Macaulay rings.References
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Additional Information
- Douglas Hanes
- Affiliation: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
- Address at time of publication: Neuro-otology Research, Legacy Research Center, 1225 NE 2nd Avenue, Portland, Oregon 97232
- Email: hanes@math.umn.edu, douglash@neurotology.org
- Received by editor(s): November 11, 2001
- Received by editor(s) in revised form: August 14, 2003
- Published electronically: April 27, 2004
- © Copyright 2004 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 357 (2005), 735-756
- MSC (2000): Primary 13C14
- DOI: https://doi.org/10.1090/S0002-9947-04-03562-7
- MathSciNet review: 2095629