A NOTE ON THE BUCHSBAUM-RIM MULTIPLICITY OF A PARAMETER MODULE

作者：Hayasaka Futoshi^*; Hyry Eeero

来源：Proceedings of the American Mathematical Society, 2010, 138(2): 545-551.

• Buchsbaum-Rim multiplicity
• parameter module
• Euler-Poincare characteristic
• generalized Koszul complex

In this article we prove that the Buchsbaum-Rim multiplicity e(FIN) of a parameter module N in a free module F = A(r) is bounded above by the colength l(A)(F/N). Moreover, we prove that once the equality l(A)(F/N) = e(F/N) holds true for some parameter module N in F, then the base ring A is Cohen-Macaulay.

• 出版日期2010-2