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Cubierta del libro
Autor Peeva, Irena. author.

Título Graded Syzygies [electronic resource] / by Irena Peeva.

Publicación London : Springer London, 2011.
Descripción física XII, 304 p. online resource.
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Colección Algebra and Applications ; 14
Algebra and Applications ; 14
Springer eBooks. Mathematics and Statistics
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Contiene: Graded Free Resolutions -- Hilbert Functions -- Monomial Resolutions -- Syzygies of Toric Ideals.
Resumen: 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.
Materia Mathematics.
Commutative algebra.
Commutative rings.
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Commutative Rings and Algebras.
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Autor secundario SpringerLink (Online service)
En Springer eBooks
OTRO SOPORTE Printed edition: 9780857291769
ISBN 9780857291776 978-0-85729-177-6
ISBN/ISSN 10.1007/978-0-85729-177-6 doi