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Presenting Matrices of Maximal Cohen-Macaulay Modules

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Abstract

We dene a numerical invariant row CM (A) over Cohen-Mac-aulay local ring A, which is related to rows of the presenting matrices ofmaximal Cohen-Macaulay modules without free summands. We showthat row(A) = row CM (A) for a Cohen-Macaulay (not necessarily Goren-stein) local ring A.

참고문헌 (7)

  1. "A note on the index of Cohen-Macaulay local rings", pp.~21 (1993)
  2. "Commutative algebra, With a view toward algebraic geometry", 150 (1995), Springer-Verlag, New York
  3. "Some restrictions on the maps in minimal resolutions", 202(2), pp.671~689 (1998)
  4. "New invariants of Noetherian local rings", 235(2), pp.431~452 (2001)
  5. "On column invariant and index of Cohen-Macaulay local rings", 43(4), pp.871~883 (2006)
  6. , 2000, 521~530
  7. "Column invariants over Cohen-Macaulay local rings", 33 (2005)

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