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 LEADER 02218nam 2200469z- 450 001 9910557561803321 005 20211118 035 $a(CKB)5400000000044009 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/74412 035 $a(oapen)doab74412 035 $a(EXLCZ)995400000000044009 100 $a20202111d2020 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aBone Marrow Adiposity: Establishing Harmonized, Mechanistic and Multidisciplinary Approaches to Reach Clinical Translation 210 $cFrontiers Media SA$d2020 215 $a1 online resource (160 p.) 311 08$a2-88966-283-7 330 $aThis eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact 517 $aBone Marrow Adiposity 606 $aEndocrinology$2bicssc 606 $aMedicine and Nursing$2bicssc 610 $abone marrow adipocytes 610 $aBone Marrow Adiposity Society 610 $amethodology 610 $anomenclature 610 $aspecial issue 615 7$aEndocrinology 615 7$aMedicine and Nursing 700 $aBravenboer$b Nathalie$4edt$01327919 702 $aLucas$b Stephanie$4edt 702 $aJames Rosen$b Clifford$4edt 702 $aBravenboer$b Nathalie$4oth 702 $aLucas$b Stephanie$4oth 702 $aJames Rosen$b Clifford$4oth 906 $aBOOK 912 $a9910557561803321 996 $aBone Marrow Adiposity: Establishing Harmonized, Mechanistic and Multidisciplinary Approaches to Reach Clinical Translation$93038277 997 $aUNINA