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Advances in Algebra and Model Theory

2019-08-16 Mathematics
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Release : 2019-08-16
Genre : Mathematics
Kind : eBook
Book Rating : 278/5 ( reviews)

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Book Synopsis Advances in Algebra and Model Theory by : M Droste

Download or read book Advances in Algebra and Model Theory written by M Droste. This book was released on 2019-08-16. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Model Theory in Algebra, Analysis and Arithmetic

2014-09-20 Mathematics
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Release : 2014-09-20
Genre : Mathematics
Kind : eBook
Book Rating : 365/5 ( reviews)

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Book Synopsis Model Theory in Algebra, Analysis and Arithmetic by : Lou van den Dries

Download or read book Model Theory in Algebra, Analysis and Arithmetic written by Lou van den Dries. This book was released on 2014-09-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lectures on Algebraic Model Theory

2002 Mathematics
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Release : 2002
Genre : Mathematics
Kind : eBook
Book Rating : 057/5 ( reviews)

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Book Synopsis Lectures on Algebraic Model Theory by : Bradd T. Hart

Download or read book Lectures on Algebraic Model Theory written by Bradd T. Hart. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Course in Model Theory

2012-03-08 Mathematics
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Release : 2012-03-08
Genre : Mathematics
Kind : eBook
Book Rating : 24X/5 ( reviews)

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Book Synopsis A Course in Model Theory by : Katrin Tent

Download or read book A Course in Model Theory written by Katrin Tent. This book was released on 2012-03-08. Available in PDF, EPUB and Kindle. Book excerpt: Concise introduction to current topics in model theory, including simple and stable theories.

Algebraic Model Theory

2013-03-14 Mathematics
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Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 232/5 ( reviews)

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Book Synopsis Algebraic Model Theory by : Bradd T. Hart

Download or read book Algebraic Model Theory written by Bradd T. Hart. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras. The present book contains lectures on recent results in algebraic model theory, covering topics from the following areas: geometric model theory, the model theory of analytic structures, permutation groups in model theory, the spectra of countable theories, and the structure of finite algebras. Audience: Graduate students in logic and others wishing to keep abreast of current trends in model theory. The lectures contain sufficient introductory material to be able to grasp the recent results presented.

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