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
SN - 0022-4049
VL - 222
SP - 3774
EP - 3783
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 11
ER -