TY - JOUR
T1 - A computation of Buchsbaum-Rim functions of two variables in a special case
AU - Hayasaka, Futoshi
N1 - Publisher Copyright:
© 2016 Rocky Mountain Mathematics Consortium.
PY - 2016
Y1 - 2016
N2 - In this paper, we will compute Buchsbaum- Rim functions of two variables associated to a parameter matrix of a special form over a one-dimensional Cohen- Macaulay local ring, and we will determine when the function coincides with the Buchsbaum-Rim polynomial. As a consequence, we have that there exists the case where the function does not coincide with the polynomial function, which should be contrasted with the ordinary Buchsbaum- Rim function of single variable.
AB - In this paper, we will compute Buchsbaum- Rim functions of two variables associated to a parameter matrix of a special form over a one-dimensional Cohen- Macaulay local ring, and we will determine when the function coincides with the Buchsbaum-Rim polynomial. As a consequence, we have that there exists the case where the function does not coincide with the polynomial function, which should be contrasted with the ordinary Buchsbaum- Rim function of single variable.
KW - Buchsbaum-Rim multiplicity
KW - Cohen- Macaulay
KW - Parameter matrix
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U2 - 10.1216/RMJ-2016-46-5-1547
DO - 10.1216/RMJ-2016-46-5-1547
M3 - Article
AN - SCOPUS:85006412358
VL - 46
SP - 1547
EP - 1557
JO - Rocky Mountain Journal of Mathematics
JF - Rocky Mountain Journal of Mathematics
SN - 0035-7596
IS - 5
ER -