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 Presenting matrices of maximal Cohen-Macaulay modules Bull. Korean Math. Soc. 2007 Vol. 44, No. 4, 871-878 Published online December 1, 2007 Kisuk Lee Sookmyung Women's University Abstract : We define a numerical invariant $\mathrm{row}_{CM}(A)$ over Cohen-Mac\-aulay local ring $A$, which is related to rows of the presenting matrices of maximal Cohen-Macaulay modules without free summands. We show that $\mathrm{row}(A)= \mathrm{row}_{CM}(A)$ for a Cohen-Macaulay (not necessarily Gorenstein) local ring $A$. Keywords : column and row invariants, maximal Cohen-Macaulay modules, syzygy modules, Cohen-Macaulay ring MSC numbers : 13H10, 13C14, 13D02 Downloads: Full-text PDF