Abstract
Let \({(R, \mathfrak{m})}\) 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 parameter ideals of M provided the polynomial type of M is at most one.
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This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant number 101.01-2011.49.
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Quy, P.H. On the uniform bound of the index of reducibility of parameter ideals of a module whose polynomial type is at most one. Arch. Math. 101, 469–478 (2013). https://doi.org/10.1007/s00013-013-0578-0
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DOI: https://doi.org/10.1007/s00013-013-0578-0