00000cmm a22000004a 4500 UP-99796217611212346 Buklod 20230215085534.0 m go j cr |nu|||auu|a 101127s2011 xxk u | eng d 9780857291776 (eBook) 0857291777 (eBook) (iLib)UPD-00215704108 DML eng DMLUC QA 247 P44 2011eb Peeva, Irena. Graded syzygies [electronic resource] Irena Peeva. London New York Springer 2011. 1 online resource (xi, 302 p.) Algebra and applications v. 14. Graded Free Resolutions -- Hilbert Functions -- Monomial Resolutions -- Syzygies of Toric Ideals. IP-based subscription, access limited to within on-campus computer network. Access via Electronic Resources of the UPD University Library Website. The 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. Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink. Syzygies (Mathematics) Characteristic functions. Electronic books. Electronic Resource Available for University of the Philippines Diliman via SpringerLink. Click here to access http://link.springer.com/book/10.1007/978-0-85729-177-6 FO Monograph UPD DMLR Electronic Resource