TY - JOUR

T1 - A formula for the associated Buchsbaum–Rim multiplicities of a direct sum of cyclic modules

AU - Hayasaka, Futoshi

N1 - Publisher Copyright:
© 2018 Elsevier B.V.

PY - 2018/11

Y1 - 2018/11

N2 - 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.

AB - 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.

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U2 - 10.1016/j.jpaa.2018.02.006

DO - 10.1016/j.jpaa.2018.02.006

M3 - Article

AN - SCOPUS:85044366003

VL - 222

SP - 3774

EP - 3783

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 11

ER -