---

＜電子ブック＞
Graded Syzygies / by Irena Peeva
(Algebra and Applications. ISSN:21922950 ; 14)

版	1st ed. 2011.
出版者	(London : Springer London : Imprint: Springer)
出版年	2011
本文言語	英語
大きさ	XII, 304 p : online resource
著者標目	*Peeva, Irena author SpringerLink (Online service)
件　名	LCSH:Commutative algebra LCSH:Commutative rings FREE:Commutative Rings and Algebras
一般注記	Graded Free Resolutions -- Hilbert Functions -- Monomial Resolutions -- Syzygies of Toric Ideals 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 HTTP:URL=https://doi.org/10.1007/978-0-85729-177-6

 類似資料