Advances In Algebra And Model Theory

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Advances in Algebra and Model Theory

M Droste,R. Gobel
Advances in Algebra and Model Theory Book PDF

Author : M Droste,R. Gobel
Publisher : CRC Press
Page : 516 pages
File Size : 40,8 Mb
Release : 2019-08-16
Category : Mathematics
ISBN : 9781000725278

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Advances in Algebra and Model Theory by M Droste,R. Gobel Pdf

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.

Algebraic Model Theory

Bradd T. Hart,A. Lachlan,Matthew A. Valeriote
Algebraic Model Theory Book PDF

Author : Bradd T. Hart,A. Lachlan,Matthew A. Valeriote
Publisher : Springer Science & Business Media
Page : 285 pages
File Size : 55,5 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9789401589239

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Algebraic Model Theory by Bradd T. Hart,A. Lachlan,Matthew A. Valeriote Pdf

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.

Advances in Algebra and Model Theory

M Droste,R. Gobel
Advances in Algebra and Model Theory Book PDF

Author : M Droste,R. Gobel
Publisher : CRC Press
Page : 512 pages
File Size : 51,8 Mb
Release : 2019-08-16
Category : Mathematics
ISBN : 9781000717457

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Advances in Algebra and Model Theory by M Droste,R. Gobel Pdf

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.

A Guide to Classical and Modern Model Theory

Annalisa Marcja,Carlo Toffalori
A Guide to Classical and Modern Model Theory Book PDF

Author : Annalisa Marcja,Carlo Toffalori
Publisher : Springer Science & Business Media
Page : 377 pages
File Size : 48,9 Mb
Release : 2012-09-10
Category : Philosophy
ISBN : 9789400708129

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A Guide to Classical and Modern Model Theory by Annalisa Marcja,Carlo Toffalori Pdf

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.

Models, Algebras, and Proofs

Xavier Caicedo,Carlos Montenegro
Models Algebras and Proofs Book PDF

Author : Xavier Caicedo,Carlos Montenegro
Publisher : CRC Press
Page : 474 pages
File Size : 47,9 Mb
Release : 1998-11-05
Category : Mathematics
ISBN : 0824719700

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Models, Algebras, and Proofs by Xavier Caicedo,Carlos Montenegro Pdf

"Contains a balanced account of recent advances in set theory, model theory, algebraic logic, and proof theory, originally presented at the Tenth Latin American Symposium on Mathematical Logic held in Bogata, Columbia. Traces new interactions among logic, mathematics, and computer science. Features original research from over 30 well-known experts worldwide."

Model Theory in Algebra, Analysis and Arithmetic

Lou van den Dries,Jochen Koenigsmann,H. Dugald Macpherson,Anand Pillay,Carlo Toffalori,Alex J. Wilkie
Model Theory in Algebra Analysis and Arithmetic Book PDF

Author : Lou van den Dries,Jochen Koenigsmann,H. Dugald Macpherson,Anand Pillay,Carlo Toffalori,Alex J. Wilkie
Publisher : Springer
Page : 195 pages
File Size : 50,8 Mb
Release : 2014-09-20
Category : Mathematics
ISBN : 9783642549366

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Model Theory in Algebra, Analysis and Arithmetic by Lou van den Dries,Jochen Koenigsmann,H. Dugald Macpherson,Anand Pillay,Carlo Toffalori,Alex J. Wilkie Pdf

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

Bradd T. Hart,Matthew Valeriote
Lectures on Algebraic Model Theory Book PDF

Author : Bradd T. Hart,Matthew Valeriote
Publisher : American Mathematical Soc.
Page : 121 pages
File Size : 44,8 Mb
Release : 2002
Category : Algebraic fields
ISBN : 9780821827055

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Lectures on Algebraic Model Theory by Bradd T. Hart,Matthew Valeriote Pdf

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.

Model Theory, Algebra, and Geometry

Deirdre Haskell,Anand Pillay,Charles Steinhorn
Model Theory Algebra and Geometry Book PDF

Author : Deirdre Haskell,Anand Pillay,Charles Steinhorn
Publisher : Cambridge University Press
Page : 244 pages
File Size : 52,7 Mb
Release : 2000-07-03
Category : Mathematics
ISBN : 0521780683

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Model Theory, Algebra, and Geometry by Deirdre Haskell,Anand Pillay,Charles Steinhorn Pdf

Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.

Logic and Algebra

Yi Zhang
Logic and Algebra Book PDF

Author : Yi Zhang
Publisher : American Mathematical Soc.
Page : 298 pages
File Size : 46,6 Mb
Release : 2002
Category : Algebra
ISBN : 9780821829844

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Logic and Algebra by Yi Zhang Pdf

This volume outlines current developments in model theory and combinatorial set theory and presents state-of-the-art research. Well-known researchers report on their work in model theory and set theory with applications to algebra. The papers of J. Brendle and A. Blass present one of the most interesting areas of set theory. Brendle gives a very detailed and readable account of Shelah's solution for the long-standing problem of $\mathrm{Con (\mathfrak{d a )$. It could be used in anadvanced graduate seminar on set theory. Papers by T. Altinel, J. T. Baldwin, R. Grossberg, W. Hodges, T. Hyttinen, O. Lessmann, and B. Zilber deal with questions of model theory from the viewpoint of stability theory. Here, Zilber constructs an $\omega$-stable complete theory of ``pseudo-analytic''structures on algebraically closed fields. This result is part of his program of the model-theoretic study of analytic structures by including Hrushovski's method in the analytic context. The book presents this and further developments in model theory. It is geared toward advanced graduate students and researchers interested in logic and foundations, algebra, and algebraic geometry.

Recent Advances in Operator Theory and Operator Algebras

Hari Bercovici,Elias Katsoulis,David Kerr,Dan Timotin
Recent Advances in Operator Theory and Operator Algebras Book PDF

Author : Hari Bercovici,Elias Katsoulis,David Kerr,Dan Timotin
Publisher : CRC Press
Page : 173 pages
File Size : 50,7 Mb
Release : 2017-08-07
Category : Mathematics
ISBN : 9781351643030

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Recent Advances in Operator Theory and Operator Algebras by Hari Bercovici,Elias Katsoulis,David Kerr,Dan Timotin Pdf

This book will contain lectures given by four eminent speakers at the Recent Advances in Operator Theory and Operator Algebras conference held at the Indian Statistical Institute, Bangalore, India in 2014. The main aim of this book is to bring together various results in one place with cogent introduction and references for further study.

Advances in Commutative Ring Theory

David Dobbs
Advances in Commutative Ring Theory Book PDF

Author : David Dobbs
Publisher : CRC Press
Page : 578 pages
File Size : 55,5 Mb
Release : 2023-08-25
Category : Mathematics
ISBN : 9781000939637

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Advances in Commutative Ring Theory by David Dobbs Pdf

"Presents the proceedings of the recently held Third International Conference on Commutative Ring Theory in Fez, Morocco. Details the latest developments in commutative algebra and related areas-featuring 26 original research articles and six survey articles on fundamental topics of current interest. Examines wide-ranging developments in commutative algebra, together with connections to algebraic number theory and algebraic geometry."

Groups, Modules, and Model Theory - Surveys and Recent Developments

Manfred Droste,László Fuchs,Brendan Goldsmith,Lutz Strüngmann
Groups Modules and Model Theory Surveys and Recent Developments Book PDF

Author : Manfred Droste,László Fuchs,Brendan Goldsmith,Lutz Strüngmann
Publisher : Springer
Page : 475 pages
File Size : 51,8 Mb
Release : 2017-06-02
Category : Mathematics
ISBN : 9783319517186

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Groups, Modules, and Model Theory - Surveys and Recent Developments by Manfred Droste,László Fuchs,Brendan Goldsmith,Lutz Strüngmann Pdf

This volume focuses on group theory and model theory with a particular emphasis on the interplay of the two areas. The survey papers provide an overview of the developments across group, module, and model theory while the research papers present the most recent study in those same areas. With introductory sections that make the topics easily accessible to students, the papers in this volume will appeal to beginning graduate students and experienced researchers alike. As a whole, this book offers a cross-section view of the areas in group, module, and model theory, covering topics such as DP-minimal groups, Abelian groups, countable 1-transitive trees, and module approximations. The papers in this book are the proceedings of the conference “New Pathways between Group Theory and Model Theory,” which took place February 1-4, 2016, in Mülheim an der Ruhr, Germany, in honor of the editors’ colleague Rüdiger Göbel. This publication is dedicated to Professor Göbel, who passed away in 2014. He was one of the leading experts in Abelian group theory.

Introduction to Model Theory

Philipp Rothmaler
Introduction to Model Theory Book PDF

Author : Philipp Rothmaler
Publisher : CRC Press
Page : 324 pages
File Size : 45,9 Mb
Release : 2018-12-07
Category : Mathematics
ISBN : 9780429668500

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Introduction to Model Theory by Philipp Rothmaler Pdf

Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect. This text introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory. In this spirit, the compactness theorem is proved via the algebraically useful ultrsproduct technique (rather than via the completeness theorem of first-order logic). This leads fairly quickly to algebraic applications, like Malcev's local theorems of group theory and, after a little more preparation, to Hilbert's Nullstellensatz of field theory. Steinitz dimension theory for field extensions is obtained as a special case of a much more general model-theoretic treatment of strongly minimal theories. There is a final chapter on the models of the first-order theory of the integers as an abelian group. Both these topics appear here for the first time in a textbook at the introductory level, and are used to give hints to further reading and to recent developments in the field, such as stability (or classification) theory.

Model Theory of Modules, Algebras and Categories

Alberto Facchini,Lorna Gregory,Sonia L’Innocente,Marcus Tressl
Model Theory of Modules Algebras and Categories Book PDF

Author : Alberto Facchini,Lorna Gregory,Sonia L’Innocente,Marcus Tressl
Publisher : American Mathematical Soc.
Page : 237 pages
File Size : 53,6 Mb
Release : 2019-05-31
Category : Algebra
ISBN : 9781470443672

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Model Theory of Modules, Algebras and Categories by Alberto Facchini,Lorna Gregory,Sonia L’Innocente,Marcus Tressl Pdf

This volume contains the proceedings of the international conference Model Theory of Modules, Algebras and Categories, held from July 28–August 2, 2017, at the Ettore Majorana Foundation and Centre for Scientific Culture in Erice, Italy. Papers contained in this volume cover recent developments in model theory, module theory and category theory, and their intersection.

Advances in Representation Theory of Algebras

Ibrahim Assem,Christof Geiß,Sonia Trepode
Advances in Representation Theory of Algebras Book PDF

Author : Ibrahim Assem,Christof Geiß,Sonia Trepode
Publisher : American Mathematical Soc.
Page : 257 pages
File Size : 47,5 Mb
Release : 2021-01-06
Category : Education
ISBN : 9781470451592

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Advances in Representation Theory of Algebras by Ibrahim Assem,Christof Geiß,Sonia Trepode Pdf

The Seventh ARTA (“Advances in Representation Theory of Algebras VII”) conference took place at the Instituto de Matemáticas of the Universidad Nacional Autónoma de México, in Mexico City, from September 24–28, 2018, in honor of José Antonio de la Peña's 60th birthday. Papers in this volume cover topics Professor de la Peña worked on, such as covering theory, tame algebras, and the use of quadratic forms in representation theory. Also included are papers on the categorical approach to representations of algebras and relations to Lie theory, Cohen–Macaulay modules, quantum groups and other algebraic structures.