TY - JOUR
T1 - A formula for the associated Buchsbaum–Rim multiplicities of a direct sum of cyclic modules II
AU - Hayasaka, Futoshi
N1 - Publisher Copyright:
© 2019, © 2019 Taylor & Francis Group, LLC.
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2019/8/3
Y1 - 2019/8/3
N2 - The associated Buchsbaum–Rim multiplicities of a module are a descending sequence of non-negative integers. These invariants of a module are a generalization of the classical Hilbert–Samuel multiplicity of an ideal. In this article, we compute the associated Buchsbaum–Rim multiplicity of a direct sum of cyclic modules and give a formula for the second to last positive associated Buchsbaum–Rim multiplicity in terms of the ordinary Buchsbaum–Rim and Hilbert–Samuel multiplicities. This is a natural generalization of a formula given by Kirby and Rees.
AB - The associated Buchsbaum–Rim multiplicities of a module are a descending sequence of non-negative integers. These invariants of a module are a generalization of the classical Hilbert–Samuel multiplicity of an ideal. In this article, we compute the associated Buchsbaum–Rim multiplicity of a direct sum of cyclic modules and give a formula for the second to last positive associated Buchsbaum–Rim multiplicity in terms of the ordinary Buchsbaum–Rim and Hilbert–Samuel multiplicities. This is a natural generalization of a formula given by Kirby and Rees.
KW - Buchsbaum–Rim function
KW - Buchsbaum–Rim multiplicity
KW - Hilbert–Samuel multiplicity
KW - cyclic modules
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U2 - 10.1080/00927872.2018.1555836
DO - 10.1080/00927872.2018.1555836
M3 - Article
AN - SCOPUS:85063933359
SN - 0092-7872
VL - 47
SP - 3250
EP - 3263
JO - Communications in Algebra
JF - Communications in Algebra
IS - 8
ER -