A formula for the associated Buchsbaum-Rim multiplicities of a direct sum of cyclic modules
classification
🧮 math.AC
keywords
buchsbaum-rimassociatedformulamultiplicitycyclicdirectlastmodules
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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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