English

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

Rings and Algebras 2011-07-12 v1 Algebraic Topology

Abstract

Let Λ=Z[t,t1]\Lambda=\Bbb Z[t,t^{-1}] be the ring of Laurent polynomials over Z\Bbb Z. We classify all Λ\Lambda-modules MM with M=pn|M|=p^n, where pp is a primes and n4n\le 4. Consequently, we have a classification of Alexander quandles of order pnp^n for n4n\le 4.

Keywords

Cite

@article{arxiv.1107.2076,
  title  = {Finite Modules over $\Bbb Z[t,t^{-1}]$},
  author = {Xiang-dong Hou},
  journal= {arXiv preprint arXiv:1107.2076},
  year   = {2011}
}

Comments

24 pages

R2 v1 2026-06-21T18:35:06.306Z