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- W2951521036 abstract "We study the set of monomial ideals in a polynomial ring as an ordered set, with the ordering given by reverse inclusion. We give a short proof of the fact that every antichain of monomial ideals is finite. Then we investigate ordinal invariants for the complexity of this ordered set. In particular, we give an interpretation of the height function in terms of the Hilbert-Samuel polynomial, and we compute upper and lower bounds on the maximal order type." @default.
- W2951521036 created "2019-06-27" @default.
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- W2951521036 date "2003-05-27" @default.
- W2951521036 modified "2023-09-27" @default.
- W2951521036 title "Orderings of Monomial Ideals" @default.
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