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On the uniform bound of the index of reducibility of parameter ideals of a module whose polynomial type is at most one (1311.0987v1)
Published 5 Nov 2013 in math.AC
Abstract: Let $(R, \frak m)$ be a Noetherian local ring, $M$ a finitely generated $R$-module. The aim of this paper is to prove a uniform formula for the index of reducibility of paprameter ideals of $M$ provided the polynomial type of $M$ is at most one.
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