Graded Syzygies - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Graded Syzygies write by Irena Peeva. This book was released on 2010-11-29. Graded Syzygies available in PDF, EPUB and Kindle. 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.
Syzygies and Homotopy Theory
Syzygies and Homotopy Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Syzygies and Homotopy Theory write by F.E.A. Johnson. This book was released on 2011-11-17. Syzygies and Homotopy Theory available in PDF, EPUB and Kindle. The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much more problematic and far less well understood. Syzygies and Homotopy Theory explores the problem of nonsimply connected homotopy in the first nontrivial cases and presents, for the first time, a systematic rehabilitation of Hilbert's method of syzygies in the context of non-simply connected homotopy theory. The first part of the book is theoretical, formulated to allow a general finitely presented group as a fundamental group. The innovation here is to regard syzygies as stable modules rather than minimal modules. Inevitably this forces a reconsideration of the problems of noncancellation; these are confronted in the second, practical, part of the book. In particular, the second part of the book considers how the theory works out in detail for the specific examples Fn ́F where Fn is a free group of rank n and F is finite. Another innovation is to parametrize the first syzygy in terms of the more familiar class of stably free modules. Furthermore, detailed description of these stably free modules is effected by a suitable modification of the method of Milnor squares. The theory developed within this book has potential applications in various branches of algebra, including homological algebra, ring theory and K-theory. Syzygies and Homotopy Theory will be of interest to researchers and also to graduate students with a background in algebra and algebraic topology.
American Journal of Mathematics
American Journal of Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook American Journal of Mathematics write by . This book was released on 1886. American Journal of Mathematics available in PDF, EPUB and Kindle. The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.
Bulletin
Bulletin - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bulletin write by . This book was released on 1931. Bulletin available in PDF, EPUB and Kindle.
An Introduction to Gröbner Bases
An Introduction to Gröbner Bases - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Gröbner Bases write by Ralf Fröberg. This book was released on 1997-10-07. An Introduction to Gröbner Bases available in PDF, EPUB and Kindle. Grobner-Basen werden von Mathematikern und Informatikern zunehmend fur eine breite Palette von Anwendungen genutzt, in denen die algorithmische algebraische Geometrie eine Rolle spielt. Hier werden Grobner-Basen von einem konstruktiven, wenig abstrakten Standpunkt aus behandelt, wobei nur geringe Vorkenntnisse in linearer Algebra und komplexen Zahlen vorausgesetzt werden; zahlreiche Beispiele helfen bei der Durchdringung des Stoffes. Mit einer Ubersicht uber aktuell erhaltliche relevante Softwarepakete.
