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| Author | : Ilijas Farah |
| Publisher | : American Mathematical Society |
| Total Pages | : 127 |
| Release | : 2021-09-24 |
| Genre | : Mathematics |
| ISBN | : 1470447576 |
View the abstract.
| Author | : Ilijas Farah |
| Publisher | : |
| Total Pages | : 142 |
| Release | : 2021 |
| Genre | : C*-algebras |
| ISBN | : 9781470466268 |
| Author | : M Droste |
| Publisher | : CRC Press |
| Total Pages | : 516 |
| Release | : 2019-08-16 |
| Genre | : Mathematics |
| ISBN | : 1000725278 |
Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community. The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered. This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.
| Author | : Isaac Goldbring |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 498 |
| Release | : 2023-07-24 |
| Genre | : Mathematics |
| ISBN | : 3110768283 |
Continuous model theory is an extension of classical first order logic which is best suited for classes of structures which are endowed with a metric. Applications have grown considerably in the past decade. This book is dedicated to showing how the techniques of continuous model theory are used to study C*-algebras and von Neumann algebras. This book geared to researchers in both logic and functional analysis provides the first self-contained collection of articles surveying the many applications of continuous logic to operator algebras that have been obtained in the last 15 years.
| Author | : |
| Publisher | : Elsevier |
| Total Pages | : 441 |
| Release | : 2001-07-11 |
| Genre | : Mathematics |
| ISBN | : 0080528341 |
General Theory of C*-Algebras
| Author | : Kenneth R. Davidson |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 326 |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : 0821805991 |
An introductory graduate level text presenting the basics of the subject through a detailed analysis of several important classes of C*-algebras, those which are the basis of the development of operator algebras. Explains the real examples that researchers use to test their hypotheses, and introduces modern concepts and results such as real rank zero algebras, topological stable rank, and quasidiagonality. Includes chapter exercises with hints. For graduate students with a foundation in functional analysis. Annotation copyright by Book News, Inc., Portland, OR
| Author | : Annalisa Marcja |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 377 |
| Release | : 2012-09-10 |
| Genre | : Philosophy |
| ISBN | : 9400708122 |
This volume is easily accessible to young people and mathematicians unfamiliar with logic. It gives a terse historical picture of Model Theory and introduces the latest developments in the area. It further provides 'hands-on' proofs of elimination of quantifiers, elimination of imaginaries and other relevant matters. The book is for trainees and professional model theorists, and mathematicians working in Algebra and Geometry.
| Author | : Lou van den Dries |
| Publisher | : Springer |
| Total Pages | : 201 |
| Release | : 2014-09-20 |
| Genre | : Mathematics |
| ISBN | : 3642549365 |
Presenting recent developments and applications, the book focuses on four main topics in current model theory: 1) the model theory of valued fields; 2) undecidability in arithmetic; 3) NIP theories; and 4) the model theory of real and complex exponentiation. Young researchers in model theory will particularly benefit from the book, as will more senior researchers in other branches of mathematics.
| Author | : Deirdre Haskell |
| Publisher | : Cambridge University Press |
| Total Pages | : 244 |
| Release | : 2000-07-03 |
| Genre | : Mathematics |
| ISBN | : 9780521780681 |
Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.
| Author | : Bradd T. Hart |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 121 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 0821827057 |
This thin volume contains three sets of lecture notes, representing recent developments in differential scales, o-minimality, and tame convergence theory. The first lecture outlines the basics of differential fields, and then addresses topics like differential varieties and tangent bundles, Kolchin's logarithmic derivative, and Manin's construction. The second describes added exponentation, T-convexity and tame extensions, piecewise linearity, the Wilkie inequality, and the valuation property. And the third considers the structure and varieties of finite algebra. No index. c. Book News Inc.
