A formula for the associated Buchsbaum-Rim multiplicities of a direct sum of cyclic modules

作者：Hayasaka Futoshi^*

来源：Journal of Pure and Applied Algebra, 2018, 222(11): 3774-3783.

DOI：10.1016/j.jpaa.2018.02.006

In this article, we compute the Buchsbaum-Rim function of two variables associated to a direct sum of cyclic modules and give a formula for the last positive associated Buchsbaum-Rim multiplicity in terms of the ordinary Hilbert-Samuel multiplicity of an ideal. This is a generalization of a formula for the last positive Buchsbaum-Rim multiplicity given by Kirby and Rees.

• 出版日期2018-11