Conference on Commutative Algebra
Author: James W. Brewer
Publisher: Springer
Published: 2006-11-15
Total Pages: 262
ISBN-13: 3540383409
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Commutative Algebra and its Applications
Author: Marco Fontana
Publisher: Walter de Gruyter
Published: 2009-09-04
Total Pages: 395
ISBN-13: 3110213184
DOWNLOAD EBOOKThis volume contains selected refereed papers based on lectures presented at the ‘Fifth International Fez Conference on Commutative Algebra and Applications’ that was held in Fez, Morocco in June 2008. The volume represents new trends and areas of classical research within the field, with contributions from many different countries. In addition, the volume has as a special focus the research and influence of Alain Bouvier on commutative algebra over the past thirty years.
Combinatorial Aspects of Commutative Algebra and Algebraic Geometry
Author: Gunnar Fløystad
Publisher: Springer Science & Business Media
Published: 2011-05-16
Total Pages: 186
ISBN-13: 3642194923
DOWNLOAD EBOOKThe Abel Symposium 2009 "Combinatorial aspects of Commutative Algebra and Algebraic Geometry", held at Voss, Norway, featured talks by leading researchers in the field. This is the proceedings of the Symposium, presenting contributions on syzygies, tropical geometry, Boij-Söderberg theory, Schubert calculus, and quiver varieties. The volume also includes an introductory survey on binomial ideals with applications to hypergeometric series, combinatorial games and chemical reactions. The contributions pose interesting problems, and offer up-to-date research on some of the most active fields of commutative algebra and algebraic geometry with a combinatorial flavour.
Commutative Algebra
Author: Marco Fontana
Publisher: Springer
Published: 2014-07-15
Total Pages: 372
ISBN-13: 1493909258
DOWNLOAD EBOOKThis volume presents a multi-dimensional collection of articles highlighting recent developments in commutative algebra. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics and research methods include Noetherian and non- Noetherian ring theory as well as integer-valued polynomials and functions. Specific topics include: · Homological dimensions of Prüfer-like rings · Quasi complete rings · Total graphs of rings · Properties of prime ideals over various rings · Bases for integer-valued polynomials · Boolean subrings · The portable property of domains · Probabilistic topics in Intn(D) · Closure operations in Zariski-Riemann spaces of valuation domains · Stability of domains · Non-Noetherian grade · Homotopy in integer-valued polynomials · Localizations of global properties of rings · Topics in integral closure · Monoids and submonoids of domains The book includes twenty articles written by many of the most prominent researchers in the field. Most contributions are authored by attendees of the conference in commutative algebra held at the Graz University of Technology in December 2012. There is also a small collection of invited articles authored by those who did not attend the conference. Following the model of the Graz conference, the volume contains a number of comprehensive survey articles along with related research articles featuring recent results that have not yet been published elsewhere.
Proceedings of the International Conference on Algebra 2010
Author: Wanida Hemakul
Publisher: World Scientific
Published: 2012
Total Pages: 755
ISBN-13: 9814366307
DOWNLOAD EBOOKThis volume is an outcome of the International Conference on Algebra in celebration of the 70th birthday of Professor Shum Kar-Ping which was held in Gadjah Mada University on 7?10 October 2010. As a consequence of the wide coverage of his research interest and work, it presents 54 research papers, all original and referred, describing the latest research and development, and addressing a variety of issues and methods in semigroups, groups, rings and modules, lattices and Hopf Algebra. The book also provides five well-written expository survey articles which feature the structure of finite groups by A Ballester-Bolinches, R Esteban-Romero, and Yangming Li; new results of Grbner-Shirshov basis by L A Bokut, Yuqun Chen, and K P Shum; polygroups and their properties by B Davvaz; main results on abstract characterizations of algebras of n-place functions obtained in the last 40 years by Wieslaw A Dudek and Valentin S Trokhimenko; Inverse semigroups and their generalizations by X M Ren and K P Shum. Recent work on cones of metrics and combinatorics done by M M Deza et al. is included.
Commutative Algebra and Algebraic Geometry
Author: Sudhir Ghorpade
Publisher: American Mathematical Soc.
Published: 2005
Total Pages: 192
ISBN-13: 0821836293
DOWNLOAD EBOOKThe first Joint AMS-India Mathematics Meeting was held in Bangalore (India). This book presents articles written by speakers from a special session on commutative algebra and algebraic geometry. Included are contributions from some leading researchers around the world in this subject area. The volume contains new and original research papers and survey articles suitable for graduate students and researchers interested in commutative algebra and algebraic geometry.
Topics in the Homological Theory of Modules Over Commutative Rings
Author: Melvin Hochster
Publisher: American Mathematical Soc.
Published: 1975
Total Pages: 86
ISBN-13: 0821816748
DOWNLOAD EBOOKContains expository lectures from the CBMS Regional Conference in Mathematics held at the University of Nebraska, June 1974. This book deals mainly with developments and still open questions in the homological theory of modules over commutative (usually, Noetherian) rings.
Commutative Ring Theory and Applications
Author: Marco Fontana
Publisher: CRC Press
Published: 2017-07-27
Total Pages: 524
ISBN-13: 9780203910627
DOWNLOAD EBOOKFeaturing presentations from the Fourth International Conference on Commutative Algebra held in Fez, Morocco, this reference presents trends in the growing area of commutative algebra. With contributions from nearly 50 internationally renowned researchers, the book emphasizes innovative applications and connections to algebraic number theory, geome
Algebraic Statistics for Computational Biology
Author: L. Pachter
Publisher: Cambridge University Press
Published: 2005-08-22
Total Pages: 440
ISBN-13: 9780521857000
DOWNLOAD EBOOKThis book, first published in 2005, offers an introduction to the application of algebraic statistics to computational biology.
Applications of Polynomial Systems
Author: David A. Cox
Publisher: American Mathematical Soc.
Published: 2020-03-02
Total Pages: 264
ISBN-13: 1470451379
DOWNLOAD EBOOKSystems of polynomial equations can be used to model an astonishing variety of phenomena. This book explores the geometry and algebra of such systems and includes numerous applications. The book begins with elimination theory from Newton to the twenty-first century and then discusses the interaction between algebraic geometry and numerical computations, a subject now called numerical algebraic geometry. The final three chapters discuss applications to geometric modeling, rigidity theory, and chemical reaction networks in detail. Each chapter ends with a section written by a leading expert. Examples in the book include oil wells, HIV infection, phylogenetic models, four-bar mechanisms, border rank, font design, Stewart-Gough platforms, rigidity of edge graphs, Gaussian graphical models, geometric constraint systems, and enzymatic cascades. The reader will encounter geometric objects such as Bézier patches, Cayley-Menger varieties, and toric varieties; and algebraic objects such as resultants, Rees algebras, approximation complexes, matroids, and toric ideals. Two important subthemes that appear in multiple chapters are toric varieties and algebraic statistics. The book also discusses the history of elimination theory, including its near elimination in the middle of the twentieth century. The main goal is to inspire the reader to learn about the topics covered in the book. With this in mind, the book has an extensive bibliography containing over 350 books and papers.
