LEADER 02852nam 2200589 450 001 996466664503316 005 20220819095712.0 010 $a3-540-38555-X 024 7 $a10.1007/BFb0091572 035 $a(CKB)1000000000438030 035 $a(SSID)ssj0000321136 035 $a(PQKBManifestationID)12087868 035 $a(PQKBTitleCode)TC0000321136 035 $a(PQKBWorkID)10276819 035 $a(PQKB)11190919 035 $a(DE-He213)978-3-540-38555-4 035 $a(MiAaPQ)EBC5585994 035 $a(Au-PeEL)EBL5585994 035 $a(OCoLC)1066188728 035 $a(MiAaPQ)EBC6812368 035 $a(Au-PeEL)EBL6812368 035 $a(OCoLC)793078590 035 $a(PPN)155202820 035 $a(EXLCZ)991000000000438030 100 $a20220819d1980 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aAlgebraic structure of knot modules /$fJerome P. Levine 205 $a1st ed. 1980. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d1980. 215 $a1 online resource (XIV, 110 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 772 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-09739-2 327 $aThe derived exact sequences -- Finite modules -- Realization of finite modules -- ?i of finite modules -- Product structure on finite modules -- Classification of derived product structure -- Rational invariants -- Z-torsion-free modules -- ?-only torsion -- Statement of realization theorem -- Inductive construction of derived sequences -- Inductive recovery of derived sequences -- Homogeneous and elementary modules -- Realization of elementary modules -- Classification of elementary modules -- Completion of proof -- Classification of ?-primary modules -- Classification fails in degree 4 -- Product structure on ?-primary modules -- Classification of product structure -- Realization of product structure on homogeneous modules -- Product structure on semi-homogeneous modules -- A non-semi-homogeneous module -- Rational classification of product structure -- Non-singular lattices over a Dedekind domain -- Norm criterion for a non-singular lattice -- Dedekind criterion: p-adic reduction -- A computable Dedekind criterion -- Computation of low-degree cases -- Determination of ideal class group -- The quqdratic symetric case. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 772. 606 $aKnot theory 615 0$aKnot theory. 676 $a514.224 686 $a57Q45$2msc 686 $a13Cxx$2msc 700 $aLevine$b Jerome P.$f1937-$059059 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466664503316 996 $aAlgebraic structure of knot modules$981014 997 $aUNISA