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- W2949188665 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.
- W2949188665 created "2019-06-27" @default.
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- W2949188665 date "2019-03-04" @default.
- W2949188665 modified "2023-09-27" @default.
- W2949188665 title "On the index of reducibility of parameter ideals: The stable and limit values" @default.
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