LEADER 02736nam 2200565 450 001 9910788743903321 005 20170816143331.0 010 $a1-4704-0476-1 035 $a(CKB)3360000000465056 035 $a(EBL)3114254 035 $a(SSID)ssj0000888981 035 $a(PQKBManifestationID)11932387 035 $a(PQKBTitleCode)TC0000888981 035 $a(PQKBWorkID)10876416 035 $a(PQKB)10072866 035 $a(MiAaPQ)EBC3114254 035 $a(RPAM)14636256 035 $a(PPN)195417615 035 $a(EXLCZ)993360000000465056 100 $a20150416h20072007 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 04$aThe Hilbert function of a level algebra /$fAnthony V. Geramita, [and others] 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2007. 210 4$dİ2007 215 $a1 online resource (154 p.) 225 1 $aMemoirs of the American Mathematical Society, ;$v0065-9266$aNumber 872 300 $a"Volume 186, number 872 (second of five numbers)." 311 $a0-8218-3940-3 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Part 1. Nonexistence and Existence""; ""Chapter 1. Introduction""; ""Chapter 2. Numerical Conditions""; ""Chapter 3. Homological Methods""; ""Chapter 4. Some Refinements""; ""Chapter 5. Constructing Artinian Level Algebras""; ""5.1. Inverse Systems""; ""5.2. Level Quotients of the Co-ordinate Rings of Points""; ""5.3. Constructing Level Algebras with the WLP""; ""5.4. The Linked-Sum Method""; ""Chapter 6. Constructing Level Sets of Points""; ""6.1. Method 1: Intersection of Suitable Curves""; ""6.2. Method 2: Liaison Tricks"" 327 $a""6.3. Method 3: Union of suitable sets of points""""6.4. Method 4: General Sets of Points on Suitable curves""; ""Chapter 7. Expected Behavior""; ""Part 2. Appendix: A Classification of Codimension Three Level Algebras of Low Socle Degree""; ""Appendix A. Introduction and Notation""; ""Appendix B. Socle Degree 6 and Type 2""; ""Appendix C. Socle Degree 5""; ""Appendix D. Socle Degree 4""; ""Appendix E. Socle Degree 3""; ""Appendix F. Summary""; ""Appendix. Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vNumber 872. 606 $aCharacteristic functions 606 $aAlgebra, Homological 615 0$aCharacteristic functions. 615 0$aAlgebra, Homological. 676 $a512.64 686 $a31.23$2bcl 702 $aGeramita$b A. V. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788743903321 996 $aThe Hilbert function of a level algebra$93838139 997 $aUNINA