Algebraic Structure of Knot Modules

J. P. Levine

ISBN 10: 3540097392 / ISBN 13: 9783540097396

Editore: Springer Berlin Heidelberg Feb 1980, 1980

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This item is printed on demand - it takes 3-4 days longer - Neuware -The derived exact sequences.- Finite modules.- Realization of finite modules.- i of finite modules.- Product structure on finite modules.- Classification of derived product structure.- Rational invariants.- Z-torsion-free modules.- -only torsion.- Statement of realization theorem.- Inductive construction of derived sequences.- Inductive recovery of derived sequences.- Homogeneous and elementary modules.- Realization of elementary modules.- Classification of elementary modules.- Completion of proof.- Classification of -primary modules.- Classification fails in degree 4.- Product structure on -primary modules.- Classification of product structure.- Realization of product structure on homogeneous modules.- Product structure on semi-homogeneous modules.- A non-semi-homogeneous module.- Rational classification of product structure.- Non-singular lattices over a Dedekind domain.- Norm criterion for a non-singular lattice.- Dedekind criterion: p-adic reduction.- A computable Dedekind criterion.- Computation of low-degree cases.- Determination of ideal class group.- The quqdratic symetric case. 124 pp. Englisch.

Codice articolo 9783540097396

Dati bibliografici

• Titolo: Algebraic Structure of Knot Modules
• Editore: Springer Berlin Heidelberg Feb 1980
• Data di pubblicazione: 1980
• Lingua: Inglese
• ISBN 10: 3540097392
• ISBN 13: 9783540097396
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 8 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 8 millimetri di profondità
• Peso: 201 grammi

Descrizione articolo

Contenuti

The derived exact sequences.- Finite modules.- Realization of finite modules.- ?i of finite modules.- Product structure on finite modules.- Classification of derived product structure.- Rational invariants.- Z-torsion-free modules.- ?-only torsion.- Statement of realization theorem.- Inductive construction of derived sequences.- Inductive recovery of derived sequences.- Homogeneous and elementary modules.- Realization of elementary modules.- Classification of elementary modules.- Completion of proof.- Classification of ?-primary modules.- Classification fails in degree 4.- Product structure on ?-primary modules.- Classification of product structure.- Realization of product structure on homogeneous modules.- Product structure on semi-homogeneous modules.- A non-semi-homogeneous module.- Rational classification of product structure.- Non-singular lattices over a Dedekind domain.- Norm criterion for a non-singular lattice.- Dedekind criterion: p-adic reduction.- A computable Dedekind criterion.- Computation of low-degree cases.- Determination of ideal class group.- The quqdratic symetric case.