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arxiv: 1107.2076 · v1 · pith:JJU3WT6Snew · submitted 2011-07-11 · 🧮 math.RA · math.AT

Finite Modules over Bbb Z[t,t⁻¹]

classification 🧮 math.RA math.AT
keywords lambdamodulesalexanderclassificationclassifyconsequentlyfinitelaurent
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Let $\Lambda=\Bbb Z[t,t^{-1}]$ be the ring of Laurent polynomials over $\Bbb Z$. We classify all $\Lambda$-modules $M$ with $|M|=p^n$, where $p$ is a primes and $n\le 4$. Consequently, we have a classification of Alexander quandles of order $p^n$ for $n\le 4$.

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