On modules over Laurent polynomial rings

Details On modules over Laurent polynomial rings On modules over Laurent polynomial rings

2010-06-21

arxiv.org/abs/1006.4153v2

Mathematics

Commutative Algebra

7 pages, no figures. To appear in J Knot Theory Ramifications

Scientific paper

10.1142/S0218216512500071

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.

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