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Algebraic Structure of Knot Modules de J. P. Levine

Algebraic Structure of Knot Modules: Lecture Notes in Mathematics, cartea 772

Autor J. P. Levine
en Limba Engleză Paperback – feb 1980

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Specificații

ISBN-13: 9783540097396
ISBN-10: 3540097392
Pagini: 124
Ilustrații: XIV, 110 p.
Dimensiuni: 155 x 235 x 7 mm
Greutate: 0.19 kg
Ediția:1980
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.