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- W2920700413 abstract "Let $(R, frak {m})$ be a Noetherian local ring and M a finitely generated R-module of dimension d. A famous result of Northcott says that if M is Cohen-Macaulay, then the index of reducibility of parameter ideals on M is an invariant of the module. The aim of this paper is to extend Northcott’s theorem for any finitely generated R-module. We call this invariant the stable value of the indices of reducibility of parameter ideals of M. We also introduce the limit value of the indices of reducibility of parameter ideals of M." @default.
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- W2920700413 date "2019-04-23" @default.
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- W2920700413 title "On the Index of Reducibility of Parameter Ideals: the Stable and Limit Values" @default.
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- W2920700413 doi "https://doi.org/10.1007/s40306-019-00329-2" @default.
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