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Presenting matrices of maximal Cohen-Macaulay modules
- Authors
- Lee, Kisuk
- Issue Date
- Nov-2007
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- column and row invariants; maximal Cohen-Macaulay modules; syzygy modules; Cohen-Macaulay ring
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.44, no.4, pp.871 - 878
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 44
- Number
- 4
- Start Page
- 871
- End Page
- 878
- ISSN
- 1015-8634
- Abstract
- We define a numerical invariant row(CM)(A) over Cohen-Macaulay local ring A, which is related to rows of the presenting matrices of maximal Cohen-Macaulay modules without free summands. We show that row(A) = row(CM)(A) for a Cohen-Macaulay (not necessarily Gorenstein) local ring A.
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