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Author : Frank DeMeyer
Publisher :
ISBN 13 : 9781470408145
Total Pages : 63 pages
Book Rating : 4.4/5 (81 download)
Download or read book Quadratic Forms Over Q and Galois Extensions of Commutative Rings written by Frank DeMeyer and published by . This book was released on 1989 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank DeMeyer
Publisher : American Mathematical Soc.
ISBN 13 : 0821824570
Total Pages : 73 pages
Book Rating : 4.8/5 (218 download)
Download or read book Quadratic Forms Over Q and Galois Extensions of Commutative Rings written by Frank DeMeyer and published by American Mathematical Soc.. This book was released on 1989 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object of the first two sections of this memoir is to give explicit descriptions of both the Witt ring of the rational numbers [bold]Q and the set of abelian extensions of [bold]Q. The third presents a discussion around a particular case of the Galois cubic extension, building on the general theory.
Author : R. Baeza
Publisher : Springer
ISBN 13 : 3540358161
Total Pages : 204 pages
Book Rating : 4.5/5 (43 download)
Download or read book Quadratic Forms Over Semilocal Rings written by R. Baeza and published by Springer. This book was released on 2006-11-22 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : McMaster University
Publisher : American Mathematical Soc.
ISBN 13 : 9780821860083
Total Pages : 362 pages
Book Rating : 4.8/5 (6 download)
Download or read book Quadratic and Hermitian Forms written by McMaster University and published by American Mathematical Soc.. This book was released on 1984 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of the 1983 Seminar on Quadratic and Hermitian Forms held at McMaster University, July 1983. Between 1945 and 1965, most of the work in quadratic (and hermitian) forms took place in arithmetic theory (M Eichler, M Kneser, O T O'Meara).
Author : Cornelius Greither
Publisher : Springer
ISBN 13 : 3540475397
Total Pages : 155 pages
Book Rating : 4.5/5 (44 download)
Download or read book Cyclic Galois Extensions of Commutative Rings written by Cornelius Greither and published by Springer. This book was released on 2006-11-15 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: The structure theory of abelian extensions of commutative rings is a subjectwhere commutative algebra and algebraic number theory overlap. This exposition is aimed at readers with some background in either of these two fields. Emphasis is given to the notion of a normal basis, which allows one to view in a well-known conjecture in number theory (Leopoldt's conjecture) from a new angle. Methods to construct certain extensions quite explicitly are also described at length.
Author : M. Hazewinkel
Publisher : Elsevier
ISBN 13 : 9780080932811
Total Pages : 592 pages
Book Rating : 4.9/5 (328 download)
Download or read book Handbook of Algebra written by M. Hazewinkel and published by Elsevier. This book was released on 2009-07-08 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed. - Thorough and practical source of information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes
Author : Jacques Helmstetter
Publisher : Springer Science & Business Media
ISBN 13 : 3764386061
Total Pages : 504 pages
Book Rating : 4.7/5 (643 download)
Download or read book Quadratic Mappings and Clifford Algebras written by Jacques Helmstetter and published by Springer Science & Business Media. This book was released on 2008-05-24 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: After general properties of quadratic mappings over rings, the authors more intensely study quadratic forms, and especially their Clifford algebras. To this purpose they review the required part of commutative algebra, and they present a significant part of the theory of graded Azumaya algebras. Interior multiplications and deformations of Clifford algebras are treated with the most efficient methods.
Author : Tsit-Yuen Lam
Publisher : American Mathematical Soc.
ISBN 13 : 0821810952
Total Pages : 577 pages
Book Rating : 4.8/5 (218 download)
Download or read book Introduction to Quadratic Forms over Fields written by Tsit-Yuen Lam and published by American Mathematical Soc.. This book was released on 2005 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new version of the author's prizewinning book, Algebraic Theory of Quadratic Forms (W. A. Benjamin, Inc., 1973), gives a modern and self-contained introduction to the theory of quadratic forms over fields of characteristic different from two. Starting with few prerequisites beyond linear algebra, the author charts an expert course from Witt's classical theory of quadratic forms, quaternion and Clifford algebras, Artin-Schreier theory of formally real fields, and structural theorems on Witt rings, to the theory of Pfister forms, function fields, and field invariants. These main developments are seamlessly interwoven with excursions into Brauer-Wall groups, local and global fields, trace forms, Galois theory, and elementary algebraic K-theory, to create a uniquely original treatment of quadratic form theory over fields. Two new chapters totaling more than 100 pages have been added to the earlier incarnation of this book to take into account some of the newer results and more recent viewpoints in the area. As is characteristic of this author's expository style, the presentation of the main material in this book is interspersed with a copious number of carefully chosen examples to illustrate the general theory. This feature, together with a rich stock of some 280 exercises for the thirteen chapters, greatly enhances the pedagogical value of this book, both as a graduate text and as a reference work for researchers in algebra, number theory, algebraic geometry, algebraic topology, and geometric topology.
Author : Tsit-Yuen Lam
Publisher :
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.:/5 (43 download)
Download or read book The Algebraic Theory of Quadratic Forms written by Tsit-Yuen Lam and published by . This book was released on 1973 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : T.Y. Lam
Publisher : American Mathematical Soc.
ISBN 13 : 9780821872413
Total Pages : 578 pages
Book Rating : 4.8/5 (724 download)
Download or read book Introduction to Quadratic Forms over Fields written by T.Y. Lam and published by American Mathematical Soc.. This book was released on with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new version of the author's prizewinning book, Algebraic Theory of Quadratic Forms (W. A. Benjamin, Inc., 1973), gives a modern and self-contained introduction to the theory of quadratic forms over fields of characteristic different from two. Starting with few prerequisites beyond linear algebra, the author charts an expert course from Witt's classical theory of quadratic forms, quaternion and Clifford algebras, Artin-Schreier theory of formally real fields, and structural theorems on Witt rings, to the theory of Pfister forms, function fields, and field invariants. These main developments are seamlessly interwoven with excursions into Brauer-Wall groups, local and global fields, trace forms, Galois theory, and elementary algebraic K-theory, to create a uniquely original treatment of quadratic form theory over fields. Two new chapters totaling more than 100 pages have been added to the earlier incarnation of this book to take into account some of the newer results and more recent viewpoints in the area. As is characteristic of this author's expository style, the presentation of the main material in this book is interspersed with a copious number of carefully chosen examples to illustrate the general theory. This feature, together with a rich stock of some 280 exercises for the thirteen chapters, greatly enhances the pedagogical value of this book, both as a graduate text and as a reference work for researchers in algebra, number theory, algebraic geometry, algebraic topology, and geometric topology.
Author : Gabriele Nebe
Publisher : American Mathematical Soc.
ISBN 13 : 0821803433
Total Pages : 144 pages
Book Rating : 4.8/5 (218 download)
Download or read book Finite Rational Matrix Groups written by Gabriele Nebe and published by American Mathematical Soc.. This book was released on 1995 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of finite rational matrix groups reduces to the investigation of the maximal finite irreducible matrix groups and their natural lattices, which often turn out to have rather beautiful geometric and arithmetic properties. This book presents a full classification in dimensions up to 23 and with restrictions in dimensions and $p+1$ and $p-1$ for all prime numbers $p$. Nonmaximal finite groups might act on several types of lattices and therefore embed into more than one maximal finite group. This gives rise to a simplicial complex interrelating the maximal finite groups and measuring the complexity of the dimension. Group theory, integral representation theory, arithmetic theory of quadratic forms and algorithmic methods are used.
Author :
Publisher : American Mathematical Society(RI)
ISBN 13 :
Total Pages : 1084 pages
Book Rating : 4.:/5 (51 download)
Download or read book Reviews in Number Theory, 1984-96 written by and published by American Mathematical Society(RI). This book was released on 1997 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt: These six volumes include approximately 20,000 reviews of items in number theory that appeared in Mathematical Reviews (MR) between 1984 and 1996. This is the third such set of volumes in number theory: the first was edited by W.J. LeVeque and included reviews from 1940-1972; the second was edited by R.K. Guy and appeared in 1984.
Author : Stephen Urban Chase
Publisher : American Mathematical Soc.
ISBN 13 : 0821812521
Total Pages : 79 pages
Book Rating : 4.8/5 (218 download)
Download or read book Galois Theory and Cohomology of Commutative Rings written by Stephen Urban Chase and published by American Mathematical Soc.. This book was released on 1969 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Albrecht Pfister
Publisher : Cambridge University Press
ISBN 13 : 0521467551
Total Pages : 191 pages
Book Rating : 4.5/5 (214 download)
Download or read book Quadratic Forms with Applications to Algebraic Geometry and Topology written by Albrecht Pfister and published by Cambridge University Press. This book was released on 1995-09-28 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: A gem of a book bringing together 30 years worth of results that are certain to interest anyone whose research touches on quadratic forms.
Author : Kenneth I. Mandelberg
Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.E/5 ( download)
Download or read book Quadratic Forms Over Semi-local Rings written by Kenneth I. Mandelberg and published by . This book was released on 1973 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ricardo Baeza
Publisher : American Mathematical Soc.
ISBN 13 : 0821846485
Total Pages : 424 pages
Book Rating : 4.8/5 (218 download)
Download or read book Quadratic Forms -- Algebra, Arithmetic, and Geometry written by Ricardo Baeza and published by American Mathematical Soc.. This book was released on 2009-08-14 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of articles that are based on talks delivered at the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms held in Frutillar, Chile in December 2007. The theory of quadratic forms is closely connected with a broad spectrum of areas in algebra and number theory. The articles in this volume deal mainly with questions from the algebraic, geometric, arithmetic, and analytic theory of quadratic forms, and related questions in algebraic group theory and algebraic geometry.
Author : M. Dickmann
Publisher : American Mathematical Soc.
ISBN 13 : 1470414686
Total Pages : 129 pages
Book Rating : 4.4/5 (74 download)
Download or read book Faithfully Quadratic Rings written by M. Dickmann and published by American Mathematical Soc.. This book was released on 2015-10-27 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph the authors extend the classical algebraic theory of quadratic forms over fields to diagonal quadratic forms with invertible entries over broad classes of commutative, unitary rings where is not a sum of squares and is invertible. They accomplish this by: (1) Extending the classical notion of matrix isometry of forms to a suitable notion of -isometry, where is a preorder of the given ring, , or . (2) Introducing in this context three axioms expressing simple properties of (value) representation of elements of the ring by quadratic forms, well-known to hold in the field case.
