Presenting matrices of maximal Cohen-Macaulay modules

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초록

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.

키워드

column and row invariants; maximal Cohen-Macaulay modules; syzygy modules; Cohen-Macaulay ring; LOCAL-RINGS; INDEX; INVARIANTS
제목
Presenting matrices of maximal Cohen-Macaulay modules
저자
Lee, Kisuk
DOI
10.4134/BKMS.2007.44.4.871
발행일
2007-11
유형
Article
저널명
대한수학회보
권
44
호
4
페이지
871 ~ 878