On modules over Laurent polynomial rings
Commutative Algebra
2011-12-30 v2 Geometric Topology
Abstract
A finitely generated module over the ring L=Z[t, t^{-1}] of integer Laurent polynomials that has no Z-torsion is determined by a pair of sub-lattices of L^d. Their indices are the absolute values of the leading and trailing coefficients of the order of the module. This description has applications in knot theory.
Keywords
Cite
@article{arxiv.1006.4153,
title = {On modules over Laurent polynomial rings},
author = {Daniel S. Silver and Susan G. Williams},
journal= {arXiv preprint arXiv:1006.4153},
year = {2011}
}
Comments
7 pages, no figures. To appear in J Knot Theory Ramifications