The Structure Of Polynomial Ideals And Grobner Bases PDF Download
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| Author | : T. Dube |
| Publisher | : |
| Total Pages | : 36 |
| Release | : 2015-08-05 |
| Genre | : Mathematics |
| ISBN | : 9781332201143 |
Download The Structure of Polynomial Ideals and Grobner Bases (Classic Reprint) Book in PDF, ePub and Kindle
Excerpt from The Structure of Polynomial Ideals and Grobner Bases The use of Grobner Bases is becoming increasingly important in algebraic computational geometry. As a result, there has been much activity in the recent years concerning the complexity of Buchberger's algorithm, and the degree of polynomials which it may produce. Bayer's thesis in 1982 provided the direction for recent research, and several recent papers have combined to show that the complexity of computing a Grobner Basis for a given ideal is double exponential in the number of variables. This paper introduces a new partitioning of a polynomial ideal. Using this partitioning, the sharpened degree bound can be obtained using only combinatorial arguments, and without the need to change coordinate systems. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works."
| Author | : Thomas W. Dube |
| Publisher | : Franklin Classics Trade Press |
| Total Pages | : 32 |
| Release | : 2018-11-11 |
| Genre | : History |
| ISBN | : 9780353329546 |
Download The Structure of Polynomial Ideals and Grobner Bases Book in PDF, ePub and Kindle
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
| Author | : T. Dube |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1988 |
| Genre | : |
| ISBN | : |
Download The Structure of Polynomial Ideals and Grobner Bases Book in PDF, ePub and Kindle
| Author | : Thomas W. Dube |
| Publisher | : Nabu Press |
| Total Pages | : 34 |
| Release | : 2013-10 |
| Genre | : |
| ISBN | : 9781294056591 |
Download The Structure of Polynomial Ideals and Grobner Bases - Primary Source Edition Book in PDF, ePub and Kindle
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
| Author | : Bruno Buchberger |
| Publisher | : Cambridge University Press |
| Total Pages | : 566 |
| Release | : 1998-02-26 |
| Genre | : Mathematics |
| ISBN | : 9780521632980 |
Download Gröbner Bases and Applications Book in PDF, ePub and Kindle
Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.
| Author | : Bernd Sturmfels |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 176 |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : 0821804871 |
Download Grobner Bases and Convex Polytopes Book in PDF, ePub and Kindle
This book is about the interplay of computational commutative algebra and the theory of convex polytopes. It centres around a special class of ideals in a polynomial ring: the class of toric ideals. They are characterized as those prime ideals that are generated by monomial differences or as the defining ideals of toric varieties (not necessarily normal). The interdisciplinary nature of the study of Gröbner bases is reflected by the specific applications appearing in this book. These applications lie in the domains of integer programming and computational statistics. The mathematical tools presented in the volume are drawn from commutative algebra, combinatorics, and polyhedral geometry.
| Author | : Viviana Ene |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 178 |
| Release | : 2011-12-01 |
| Genre | : Mathematics |
| ISBN | : 0821872877 |
Download Grobner Bases in Commutative Algebra Book in PDF, ePub and Kindle
This book provides a concise yet comprehensive and self-contained introduction to Grobner basis theory and its applications to various current research topics in commutative algebra. It especially aims to help young researchers become acquainted with fundamental tools and techniques related to Grobner bases which are used in commutative algebra and to arouse their interest in exploring further topics such as toric rings, Koszul and Rees algebras, determinantal ideal theory, binomial edge ideals, and their applications to statistics. The book can be used for graduate courses and self-study. More than 100 problems will help the readers to better understand the main theoretical results and will inspire them to further investigate the topics studied in this book.
| Author | : Takayuki Hibi |
| Publisher | : World Scientific |
| Total Pages | : 385 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 9814383465 |
Download Harmony of Grbner Bases and the Modern Industrial Society Book in PDF, ePub and Kindle
This volume consists of research papers and expository survey articles presented by the invited speakers of the conference on OC Harmony of GrAbner Bases and the Modern Industrial SocietyOCO. Topics include computational commutative algebra, algebraic statistics, algorithms of D-modules and combinatorics. This volume also provides current trends on GrAbner bases and will stimulate further development of many research areas surrounding GrAbner bases."
| Author | : Huishi Li |
| Publisher | : World Scientific |
| Total Pages | : 295 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 9814365149 |
Download Grobner Bases in Ring Theory Book in PDF, ePub and Kindle
1. Preliminaries. 1.1. Presenting algebras by relations. 1.2. S-graded algebras and modules. 1.3. [symbol]-filtered algebras and modules -- 2. The [symbol]-leading homogeneous algebra A[symbol]. 2.1. Recognizing A via G[symbol](A): part 1. 2.2. Recognizing A via G[symbol](A): part 2. 2.3. The [symbol-graded isomorphism A[symbol](A). 2.4. Recognizing A via A[symbol] -- 3. Grobner bases: conception and construction. 3.1. Monomial ordering and admissible system. 3.2. Division algorithm and Grobner basis. 3.3. Grobner bases and normal elements. 3.4. Grobner bases w.r.t. skew multiplicative K-bases. 3.5. Grobner bases in K[symbol] and KQ. 3.6. (De)homogenized Grobner bases. 3.7. dh-closed homogeneous Grobner bases -- 4. Grobner basis theory meets PBW theory. 4.1. [symbol]-standard basis [symbol]-PBW isomorphism. 4.2. Realizing [symbol]-PBW isomorphism by Grobner basis. 4.3. Classical PBW K-bases vs Grobner bases. 4.4. Solvable polynomial algebras revisited -- 5. Using A[symbol] in terms of Grobner bases. 5.1. The working strategy. 5.2. Ufnarovski graph. 5.3. Determination of Gelfand-Kirillov Dimension. 5.4. Recognizing Noetherianity. 5.5. Recognizing (semi- )primeness and PI-property. 5.6. Anick's resolution over monomial algebras. 5.7. Recognizing finiteness of global dimension. 5.8. Determination of Hilbert series -- 6. Recognizing (non- )homogeneous p-Koszulity via A[symbol]. 6.1. (Non- )homogeneous p-Koszul algebras. 6.2. Anick's resolution and homogeneous p-Koszulity. 6.3. Working in terms of Grobner bases -- 7. A study of Rees algebra by Grobner bases. 7.1. Defining [symbol] by [symbol]. 7.2. Defining [symbol] by [symbol]. 7.3. Recognizing structural properties of [symbol] via [symbol]. 7.4. An application to regular central extensions. 7.5. Algebras defined by dh-closed homogeneous Grobner bases -- 8. Looking for more Grobner bases. 8.1. Lifting (finite) Grobner bases from O[symbol]. 8.2. Lifting (finite) Grobner bases from a class of algebras. 8.3. New examples of Grobner basis theory. 8.4. Skew 2-nomial algebras. 8.5. Almost skew 2-nomial algebras
| Author | : |
| Publisher | : |
| Total Pages | : 82 |
| Release | : 1982 |
| Genre | : |
| ISBN | : |
Download Miscellaneous results on Gröbner-Bases for polynomial ideals II Book in PDF, ePub and Kindle
