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- W3020201449 abstract "Powers of (monomial) ideals is a subject that still calls attraction in various ways. In this paper we present a nice presentation of high powers of ideals in a certain class in K[x1,…,xn] and K[[x1,…,xn]]. As an interesting application it leads to an algorithm for computation of the Ratliff–Rush operation on ideals in that class. The Ratliff–Rush operation itself has several applications, for instance, if I is a regular m-primary ideal in a local ring (R,m), then the Ratliff–Rush associated ideal I˜ is the unique largest ideal containing I with the same Hilbert polynomial as I." @default.
- W3020201449 created "2020-05-01" @default.
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- W3020201449 date "2021-05-01" @default.
- W3020201449 modified "2023-09-24" @default.
- W3020201449 title "Powers of monomial ideals and the Ratliff–Rush operation" @default.
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- W3020201449 doi "https://doi.org/10.1016/j.jsc.2020.04.002" @default.
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