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020 _a9780857291776
_9978-0-85729-177-6
040 _cMX-MeUAM
050 4 _aQA251.3
082 0 4 _a512.44
_223
100 1 _aPeeva, Irena.
_eauthor.
245 1 0 _aGraded Syzygies
_h[recurso electrónico] /
_cby Irena Peeva.
264 1 _aLondon :
_bSpringer London,
_c2011.
300 _aXII, 304 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAlgebra and Applications ;
_v14
505 0 _aGraded Free Resolutions -- Hilbert Functions -- Monomial Resolutions -- Syzygies of Toric Ideals.
520 _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.
650 0 _aMathematics.
650 0 _aAlgebra.
650 1 4 _aMathematics.
650 2 4 _aCommutative Rings and Algebras.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780857291769
830 0 _aAlgebra and Applications ;
_v14
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-85729-177-6
596 _a19
942 _cLIBRO_ELEC
999 _c198387
_d198387