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Graded Syzygies

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Release : 2010-11-29
Genre : Mathematics
Kind : eBook
Book Rating : 777/5 ( reviews)

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Book Synopsis Graded Syzygies by : Irena Peeva

Download or read book Graded Syzygies written by Irena Peeva. This book was released on 2010-11-29. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Six Lectures on Commutative Algebra

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Release : 2010-03-17
Genre : Mathematics
Kind : eBook
Book Rating : 290/5 ( reviews)

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Book Synopsis Six Lectures on Commutative Algebra by : J. Elias

Download or read book Six Lectures on Commutative Algebra written by J. Elias. This book was released on 2010-03-17. Available in PDF, EPUB and Kindle. Book excerpt: Interest in commutative algebra has surged over the past decades. In order to survey and highlight recent developments in this rapidly expanding field, the Centre de Recerca Matematica in Bellaterra organized a ten-days Summer School on Commutative Algebra in 1996. Lectures were presented by six high-level specialists, L. Avramov (Purdue), M.K. Green (UCLA), C. Huneke (Purdue), P. Schenzel (Halle), G. Valla (Genova) and W.V. Vasconcelos (Rutgers), providing a fresh and extensive account of the results, techniques and problems of some of the most active areas of research. The present volume is a synthesis of the lectures given by these authors. Research workers as well as graduate students in commutative algebra and nearby areas will find a useful overview of the field and recent developments in it. Reviews "All six articles are at a very high level; they provide a thorough survey of results and methods in their subject areas, illustrated with algebraic or geometric examples." - Acta Scientiarum Mathematicarum Avramov lecture: "... it contains all the major results [on infinite free resolutions], it explains carefully all the different techniques that apply, it provides complete proofs (...). This will be extremely helpful for the novice as well as the experienced." - Mathematical reviews Huneke lecture: "The topic is tight closure, a theory developed by M. Hochster and the author which has in a short time proved to be a useful and powerful tool. (...) The paper is extremely well organized, written, and motivated." - Zentralblatt MATH Schenzel lecture: "... this paper is an excellent introduction to applications of local cohomology." - Zentralblatt MATH Valla lecture: "... since he is an acknowledged expert on Hilbert functions and since his interest has been so broad, he has done a superb job in giving the readers a lively picture of the theory." - Mathematical reviews Vasconcelos lecture: "This is a very useful survey on invariants of modules over noetherian rings, relations between them, and how to compute them." - Zentralblatt MATH

Bulletin

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Release : 1931
Genre : Science
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Bulletin by :

Download or read book Bulletin written by . This book was released on 1931. Available in PDF, EPUB and Kindle. Book excerpt:

American Journal of Mathematics

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Author :
Release : 1886
Genre : Electronic journals
Kind : eBook
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Book Synopsis American Journal of Mathematics by :

Download or read book American Journal of Mathematics written by . This book was released on 1886. Available in PDF, EPUB and Kindle. Book excerpt: The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.

Bulletin

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Author :
Release : 1921
Genre : Science
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Book Synopsis Bulletin by : United States National Museum

Download or read book Bulletin written by United States National Museum. This book was released on 1921. Available in PDF, EPUB and Kindle. Book excerpt:

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