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- W2191683056 abstract "We prove a conjecture of Miller and Reiner on the Smith Normal Form of the operator $DU_{n}$ associated with a differential poset under certain conditions. We do so by proving that the conjecture is equivalent to the existence of a certain decomposition of the $ mathbb{Z}[x]$-module $ (mathbb{Z}^{p_{n} }, DU_{n}) $, similar to the invariant factor decomposition of $ mathbb{Q}[x]$-modules. We then use our result to verify the conjecture in certain special cases." @default.
- W2191683056 created "2016-06-24" @default.
- W2191683056 creator A5031208749 @default.
- W2191683056 date "2015-10-02" @default.
- W2191683056 modified "2023-09-25" @default.
- W2191683056 title "Smith Normal Form of Matrices Associated with Differential Posets" @default.
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- W2191683056 hasPublicationYear "2015" @default.
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