02475nam 2200541 450 991081893820332120170918221550.01-4704-0044-8(CKB)3360000000464334(EBL)3113556(SSID)ssj0000976565(PQKBManifestationID)11566908(PQKBTitleCode)TC0000976565(PQKBWorkID)11019170(PQKB)10829197(MiAaPQ)EBC3113556(RPAM)0000000726(PPN)195409779(EXLCZ)99336000000046433420750508d1969 uy| 0engur|n|---|||||txtccrStable module theory /by Maurice Auslander and Mark BridgerProvidence :American Mathematical Society,1969.1 online resource (150 p.)Memoirs of the American Mathematical Society ;number 94Cover title.0-8218-1294-7 Bibliography: pages 140.""Introduction""; ""Chapter 1: Satellites and Stable Functors""; ""Â1: Stability""; ""Â2: Satellites""; ""Â3: Stability of Satellites""; ""Â4: The Stabilization of Hom(A, )""; ""Â5: The Stabilized Category T[sub(_)]""; ""Chapter 2: Applications To Noetherian Rings""; ""Â1: The Functors D and Ω [sup(i)]""; ""Â2: Calculation of Satellites""; ""Â3: Applications to Torsion Freeness and Reflexivity""; ""Â4: Grade and Torsion Freeness""; ""Â5: Representation by Monomorphisms""; ""Chapter 3: Gorenstein Dimension""; ""Chapter 4: Applications to Commutative Rings""""Â1: Depth in Commutative Rings""""Â2: Gorenstein Dimension in Commutative Rings""; ""Â3: Localization""; ""Â4: Gorenstein Rings""; ""Â5: Application to Vector Bundles""; ""Â6: Modules of finite G-dimension""; ""Â7: Perfect Modules""; ""Â8: A Computation""; ""Bibliography""; ""Appendix: The Maps M â€?> D[sup(2)sub(k)] (M)""Memoirs of the American Mathematical Society ;no. 94.Modules (Algebra)Rings (Algebra)Modules (Algebra)Rings (Algebra)Auslander Maurice536682Bridger MarkMiAaPQMiAaPQMiAaPQBOOK9910818938203321Stable module theory3984296UNINA