02736nam 2200565 450 991078874390332120170816143331.01-4704-0476-1(CKB)3360000000465056(EBL)3114254(SSID)ssj0000888981(PQKBManifestationID)11932387(PQKBTitleCode)TC0000888981(PQKBWorkID)10876416(PQKB)10072866(MiAaPQ)EBC3114254(RPAM)14636256(PPN)195417615(EXLCZ)99336000000046505620150416h20072007 uy 0engur|n|---|||||txtccrThe Hilbert function of a level algebra /Anthony V. Geramita, [and others]Providence, Rhode Island :American Mathematical Society,2007.©20071 online resource (154 p.)Memoirs of the American Mathematical Society, ;0065-9266Number 872"Volume 186, number 872 (second of five numbers)."0-8218-3940-3 Includes bibliographical references.""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""""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""Memoirs of the American Mathematical Society ;Number 872.Characteristic functionsAlgebra, HomologicalCharacteristic functions.Algebra, Homological.512.6431.23bclGeramita A. V.MiAaPQMiAaPQMiAaPQBOOK9910788743903321The Hilbert function of a level algebra3838139UNINA