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arxiv: 1006.4153 · v2 · pith:YIKLH45Cnew · submitted 2010-06-21 · 🧮 math.AC · math.GT

On modules over Laurent polynomial rings

classification 🧮 math.AC math.GT
keywords laurentmoduleabsoluteapplicationscoefficientsdescriptiondeterminedfinitely
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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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