02396nam a22003735i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137082001500172100002700187245006200214264003800276300003400314336002600348337002600374338003600400347002400436490003500460505010200495520111600597650001701713650001301730650001701743650003601760710003401796773002001830776003601850830003501886856010101921978-0-85729-177-6DE-He21320260521092037.0cr nn 008mamaa101127s2011    xxk|    s    |||| 0|eng d  a9780857291776  a997808572917767 a10.1007/978-0-85729-177-62doi04a512.442231 aPeeva, Irena.eauthor.10aGraded Syzygiesh[electronic resource] /cby Irena Peeva. 1aLondon :bSpringer London,c2011.  aXII, 304 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aAlgebra and Applications ;v140 aGraded Free Resolutions -- Hilbert Functions -- Monomial Resolutions -- Syzygies of Toric Ideals.  aThe study of free resolutions is a core and beautiful area in Commutative Algebra. The main goal of this book is to inspire the readers and develop their intuition about syzygies and Hilbert functions. Many examples are given in order to illustrate ideas and key concepts. A valuable feature of the book is the inclusion of open problems and conjectures; these provide a glimpse of exciting, and often challenging, research directions in the field. Three types of problems are presented: Conjectures, Problems, and Open-Ended Problems. The latter do not describe specific problems but point to interesting directions for exploration. The first part of the monograph contains basic background material on graded free resolutions. Further coverage of topics includes syzygies over a polynomial ring, resolutions  over quotient rings, lex ideals and Hilbert functions, compression, resolutions of monomial ideals, and syzygies of toric ideals. With a clear and self-contained exposition this text is intended for advanced graduate students and postdoctorates; it will be also of interest to senior mathematicians. 0aMATHEMATICS. 0aALGEBRA.14aMATHEMATICS.24aCOMMUTATIVE RINGS AND ALGEBRAS.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780857291769 0aAlgebra and Applications ;v1440uhttp://dx.doi.org/10.1007/978-0-85729-177-6zVer el texto completo en las instalaciones del CICY