Abstract
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.
Original language | English |
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Pages (from-to) | 1547-1557 |
Number of pages | 11 |
Journal | Rocky Mountain Journal of Mathematics |
Volume | 46 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2016 |
Externally published | Yes |
Keywords
- Buchsbaum-Rim multiplicity
- Cohen- Macaulay
- Parameter matrix
ASJC Scopus subject areas
- Mathematics(all)