A Note on the Buchsbaum-Rim multiplicity of a parameter module

Futoshi Hayasaka, Eero Hyry

In this article we prove that the Buchsbaum-Rim multiplicity $e(F/N)$ of a parameter module $N$ in a free module $F=A^r$ is bounded above by the colength ${\ell }_A(F/N)$. Moreover, w…