Finite Modules over $\mathbb{Z}[t,t^{-1}]$

Abstract

Let $\Lambda =\mathbb{Z}[t,t^{-1}]$ be the ring of Laurent polynomials over $\mathbb{Z}$. 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 $n\le 4$.

24 pages

Cited by in corpus (1)

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