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

preprint2011arXivOpen access

Abstract

Let Λ=Z[t,t−1]Λ=\Bbb Z[t,t^{-1}] be the ring of Laurent polynomials over Z\Bbb Z. We classify all ΛΛ-modules MM with ∣M∣=pn|M|=p^n, where pp is a primes and n≤4n\le 4. Consequently, we have a classification of Alexander quandles of order pnp^n for n≤4n\le 4.

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