A Generalized Koszul Complex. I

  title={A Generalized Koszul Complex. I},
  author={David A. Buchsbaum},
Introduction. In [1], the Koszul complex was used to study the relationship between codimension and multiplicity. It also helped us investigate Macaulay modules and rings, and provided a context in which to prove the Cohen-Macaulay Theorem concerning the unmixedness of complete intersections. Now there is a generalization of the Cohen-Macaulay Theorem (known, we believe, as the generalized Cohen-Macaulay Theorem) which has to do with the unmixedness of an ideal generated by the minors of a… CONTINUE READING
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