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Author : Karl Mathiak
Publisher : Springer
ISBN 13 : 3540397647
Total Pages : 123 pages
Book Rating : 4.5/5 (43 download)
Download or read book Valuations of Skew Fields and Projective Hjelmslev Spaces written by Karl Mathiak and published by Springer. This book was released on 2006-11-14 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Canadian Mathematical Bulletin written by and published by . This book was released on 1994-12 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Moritz Cohn
Publisher : Cambridge University Press
ISBN 13 : 0521432170
Total Pages : 522 pages
Book Rating : 4.5/5 (214 download)
Download or read book Skew Fields written by Paul Moritz Cohn and published by Cambridge University Press. This book was released on 1995-07-28 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-commutative fields (also called skew fields or division rings) have not been studied as thoroughly as their commutative counterparts and most accounts have hitherto been confined to division algebras, that is skew fields finite-dimensional over their centre. Based on the author's LMS lecture note volume Skew Field Constructions, the present work offers a comprehensive account of skew fields. The axiomatic foundation and a precise description of the embedding problem are followed by an account of algebraic and topological construction methods, in particular, the author's general embedding theory is presented with full proofs, leading to the construction of skew fields. The powerful coproduct theorems of G. M. Bergman are proved here as well as the properties of the matrix reduction functor, a useful but little-known construction providing a source of examples and counter-examples. The construction and basic properties of existentially closed skew fields are given, leading to an example of a model class with an infinite forcing companion which is not axiomatizable. The treatment of equations over skew fields has been simplified and extended by the use of matrix methods, and the beginnings of non-commutative algebraic geometry are presented, with a precise account of the problems that need to be overcome for a satisfactory theory. A separate chapter describes valuations and orderings on skew fields, with a construction applicable to free fields. Numerous exercises test the reader's understanding, presenting further aspects and open problems in concise form, and notes and comments at the ends of chapters provide historical background.
Author : H. Marubayashi
Publisher : Springer Science & Business Media
ISBN 13 : 9401724369
Total Pages : 201 pages
Book Rating : 4.4/5 (17 download)
Download or read book Non-Commutative Valuation Rings and Semi-Hereditary Orders written by H. Marubayashi and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much progress has been made during the last decade on the subjects of non commutative valuation rings, and of semi-hereditary and Priifer orders in a simple Artinian ring which are considered, in a sense, as global theories of non-commu tative valuation rings. So it is worth to present a survey of the subjects in a self-contained way, which is the purpose of this book. Historically non-commutative valuation rings of division rings were first treat ed systematically in Schilling's Book [Sc], which are nowadays called invariant valuation rings, though invariant valuation rings can be traced back to Hasse's work in [Has]. Since then, various attempts have been made to study the ideal theory of orders in finite dimensional algebras over fields and to describe the Brauer groups of fields by usage of "valuations", "places", "preplaces", "value functions" and "pseudoplaces". In 1984, N. 1. Dubrovin defined non-commutative valuation rings of simple Artinian rings with notion of places in the category of simple Artinian rings and obtained significant results on non-commutative valuation rings (named Dubrovin valuation rings after him) which signify that these rings may be the correct def inition of valuation rings of simple Artinian rings. Dubrovin valuation rings of central simple algebras over fields are, however, not necessarily to be integral over their centers.
Author : Jean-Pierre Tignol
Publisher : Springer
ISBN 13 : 3319163604
Total Pages : 652 pages
Book Rating : 4.3/5 (191 download)
Download or read book Value Functions on Simple Algebras, and Associated Graded Rings written by Jean-Pierre Tignol and published by Springer. This book was released on 2015-04-03 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is the first book-length treatment of valuation theory on finite-dimensional division algebras, a subject of active and substantial research over the last forty years. Its development was spurred in the last decades of the twentieth century by important advances such as Amitsur's construction of non crossed products and Platonov's solution of the Tannaka-Artin problem. This study is particularly timely because it approaches the subject from the perspective of associated graded structures. This new approach has been developed by the authors in the last few years and has significantly clarified the theory. Various constructions of division algebras are obtained as applications of the theory, such as noncrossed products and indecomposable algebras. In addition, the use of valuation theory in reduced Whitehead group calculations (after Hazrat and Wadsworth) and in essential dimension computations (after Baek and Merkurjev) is showcased. The intended audience consists of graduate students and research mathematicians.
Author : Franz-Viktor Kuhlmann
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871393
Total Pages : 470 pages
Book Rating : 4.8/5 (713 download)
Download or read book Valuation Theory and Its Applications written by Franz-Viktor Kuhlmann and published by American Mathematical Soc.. This book was released on 2002-01-01 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatchewan (Saskatoon, SK, Canada). Valuation theory arose in the early part of the twentieth century in connection with number theory and has many important applications to geometry and analysis: the classical application to the study of algebraic curves and to Dedekind and Prufer domains; the close connection to the famousresolution of the singularities problem; the study of the absolute Galois group of a field; the connection between ordering, valuations, and quadratic forms over a formally real field; the application to real algebraic geometry; the study of noncommutative rings; etc. The special feature of this book isits focus on current applications of valuation theory to this broad range of topics. Also included is a paper on the history of valuation theory. The book is suitable for graduate students and research mathematicians working in algebra, algebraic geometry, number theory, and mathematical logic.
Author : Giorgio Letta
Publisher : Springer
ISBN 13 : 3540409556
Total Pages : 293 pages
Book Rating : 4.5/5 (44 download)
Download or read book Probability and Analysis written by Giorgio Letta and published by Springer. This book was released on 2006-11-14 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures Given at the 1st 1985 Session of the Centro Internazionale Matematico Estivo, (CIME)
Author : Sebastian S. Koh
Publisher : Springer
ISBN 13 : 3540479082
Total Pages : 111 pages
Book Rating : 4.5/5 (44 download)
Download or read book Invariant Theory written by Sebastian S. Koh and published by Springer. This book was released on 2006-11-15 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of expository papers is the outgrowth of a conference in combinatorics and invariant theory. In recent years, newly developed techniques from algebraic geometry and combinatorics have been applied with great success to some of the outstanding problems of invariant theory, moving it back to the forefront of mathematical research once again. This collection of papers centers on constructive aspects of invariant theory and opens with an introduction to the subject by F. Grosshans. Its purpose is to make the current research more accesssible to mathematicians in related fields.
Author : Oleg Y. Viro
Publisher : Springer
ISBN 13 : 3540459588
Total Pages : 582 pages
Book Rating : 4.5/5 (44 download)
Download or read book Topology and Geometry - Rohlin Seminar written by Oleg Y. Viro and published by Springer. This book was released on 2006-11-14 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of papers dedicated to the memory of V. A. Rohlin (1919-1984) - an outstanding mathematician and the founder of the Leningrad topological school. It includes survey and research papers on topology of manifolds, topological aspects of the theory of complex and real algebraic varieties, topology of projective configuration spaces and spaces of convex polytopes.
Author : Steven G. Krantz
Publisher : Springer
ISBN 13 : 3540477527
Total Pages : 207 pages
Book Rating : 4.5/5 (44 download)
Download or read book Complex Analysis written by Steven G. Krantz and published by Springer. This book was released on 2006-11-14 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference gathered together a small group of people with similar interests in the geometric function theory of several complex variables. While the speeches were of a specialized nature, the papers in the proceedings are largely of a survey and speculative nature. The volume is intended to serve both students and researchers as an invitation to active new areas of research. The level of the writing has been intentionally set in such a way that the papers will be accessible to a broad audience.
Author : Yurii G. Borisovich
Publisher : Springer
ISBN 13 : 3540458948
Total Pages : 338 pages
Book Rating : 4.5/5 (44 download)
Download or read book Global Analysis. Studies and Applications III written by Yurii G. Borisovich and published by Springer. This book was released on 2006-11-14 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Haynes R. Miller
Publisher : Springer
ISBN 13 : 3540479864
Total Pages : 350 pages
Book Rating : 4.5/5 (44 download)
Download or read book Algebraic Topology. Seattle 1985 written by Haynes R. Miller and published by Springer. This book was released on 2006-11-15 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the Winter and spring of 1985 a Workshop in Algebraic Topology was held at the University of Washington. The course notes by Emmanuel Dror Farjoun and by Frederick R. Cohen contained in this volume are carefully written graduate level expositions of certain aspects of equivariant homotopy theory and classical homotopy theory, respectively. M.E. Mahowald has included some of the material from his further papers, represent a wide range of contemporary homotopy theory: the Kervaire invariant, stable splitting theorems, computer calculation of unstable homotopy groups, and studies of L(n), Im J, and the symmetric groups.
Author : Jose L. Bueso
Publisher : Springer
ISBN 13 : 3540392785
Total Pages : 343 pages
Book Rating : 4.5/5 (43 download)
Download or read book Ring Theory written by Jose L. Bueso and published by Springer. This book was released on 2007-01-05 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this proceedings volume are selected research papers in different areas of ring theory, including graded rings, differential operator rings, K-theory of noetherian rings, torsion theory, regular rings, cohomology of algebras, local cohomology of noncommutative rings. The book will be important for mathematicians active in research in ring theory.
Author : Carlos A. Berenstein
Publisher : Springer
ISBN 13 : 3540478930
Total Pages : 369 pages
Book Rating : 4.5/5 (44 download)
Download or read book Complex Analysis III written by Carlos A. Berenstein and published by Springer. This book was released on 2006-11-14 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rodrigo Bamon
Publisher : Springer
ISBN 13 : 3540458891
Total Pages : 260 pages
Book Rating : 4.5/5 (44 download)
Download or read book Dynamical Systems written by Rodrigo Bamon and published by Springer. This book was released on 2006-11-14 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains original research papers on topics central to Dynamical Systems, such as fractional dimensions (Hausdorff dimension, limity capacity) and limit cycles of polynomial vector fields concerning the well-known Dulac and Hilbert's 16th problems. Stability and bifurcations, intermittency, normal forms, Anosov flows and foliations are also themes treated in the papers. Many of the authors are renowned for their important contributions to the field. This volume should be of much interest to people working in dynamical systems, including, physicists, biologists and engineers.
Author : Xavier Gomez-Mont
Publisher : Springer
ISBN 13 : 354045957X
Total Pages : 335 pages
Book Rating : 4.5/5 (44 download)
Download or read book Holomorphic Dynamics written by Xavier Gomez-Mont and published by Springer. This book was released on 2006-11-14 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of the meeting was to have together leading specialists in the field of Holomorphic Dynamical Systems in order to present their current reseach in the field. The scope was to cover iteration theory of holomorphic mappings (i.e. rational maps), holomorphic differential equations and foliations. Many of the conferences and articles included in the volume contain open problems of current interest. The volume contains only research articles.
Author : Fernando A. Cardoso
Publisher : Springer
ISBN 13 : 3540459286
Total Pages : 450 pages
Book Rating : 4.5/5 (44 download)
Download or read book Partial Differential Operators written by Fernando A. Cardoso and published by Springer. This book was released on 2006-12-08 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Latin American School of Mathematics (ELAM) is one of the most important mathematical events in Latin America. It has been held every other year since 1968 in a different country of the region, and its theme varies according to the areas of interest of local research groups. The subject of the 1986 school was Partial Differential Equations with emphasis on Microlocal Analysis, Scattering Theory and the applications of Nonlinear Analysis to Elliptic Equations and Hamiltonian Systems.
