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

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

2011-07-11

arxiv.org/abs/1107.2076v1

Mathematics

Rings and Algebras

24 pages

Scientific paper

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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