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

Groups, Modules, and Model Theory - Surveys and Recent Developments PDF Author: Manfred Droste
Publisher: Springer
ISBN: 331951718X
Category : Mathematics
Languages : en
Pages : 493

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Book Description
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.

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

Groups, Modules, and Model Theory - Surveys and Recent Developments PDF Author: Manfred Droste
Publisher: Springer
ISBN: 331951718X
Category : Mathematics
Languages : en
Pages : 493

Get Book Here

Book Description
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.

Advances in Algebra and Model Theory

Advances in Algebra and Model Theory PDF Author: M Droste
Publisher: CRC Press
ISBN: 9789056991012
Category : Mathematics
Languages : en
Pages : 516

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Book Description
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.

Rings, Monoids and Module Theory

Rings, Monoids and Module Theory PDF Author: Ayman Badawi
Publisher: Springer Nature
ISBN: 9811684227
Category : Mathematics
Languages : en
Pages : 317

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Book Description
This book contains select papers on rings, monoids and module theory which are presented at the 3rd International Conference on Mathematics and Statistics (AUS-ICMS 2020) held at the American University of Sharjah, United Arab Emirates, from 6–9 February 2020. This conference was held in honour of the work of the distinguished algebraist Daniel D. Anderson. Many participants and colleagues from around the world felt it appropriate to acknowledge his broad and sweeping contributions to research in algebra by writing an edited volume in his honor. The topics covered are, inevitably, a cross-section of the vast expansion of modern algebra. The book is divided into two sections—surveys and recent research developments—with each section hopefully offering symbiotic utility to the reader. The book contains a balanced mix of survey papers, which will enable expert and non-expert alike to get a good overview of developments across a range of areas of algebra. The book is expected to be of interest to both beginning graduate students and experienced researchers.

Advances in Commutative Algebra

Advances in Commutative Algebra PDF Author: Ayman Badawi
Publisher: Springer
ISBN: 9811370281
Category : Mathematics
Languages : en
Pages : 280

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Book Description
This book highlights the contributions of the eminent mathematician and leading algebraist David F. Anderson in wide-ranging areas of commutative algebra. It provides a balance of topics for experts and non-experts, with a mix of survey papers to offer a synopsis of developments across a range of areas of commutative algebra and outlining Anderson’s work. The book is divided into two sections—surveys and recent research developments—with each section presenting material from all the major areas in commutative algebra. The book is of interest to graduate students and experienced researchers alike.

A Guide to NIP Theories

A Guide to NIP Theories PDF Author: Pierre Simon
Publisher: Cambridge University Press
ISBN: 1107057752
Category : Mathematics
Languages : en
Pages : 165

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Book Description
The first book to introduce the rapidly developing subject of NIP theories, for students and researchers in model theory.

Advances in Mathematical Sciences

Advances in Mathematical Sciences PDF Author: Bahar Acu
Publisher: Springer Nature
ISBN: 3030426874
Category : Mathematics
Languages : en
Pages : 364

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Book Description
This volume highlights the mathematical research presented at the 2019 Association for Women in Mathematics (AWM) Research Symposium held at Rice University, April 6-7, 2019. The symposium showcased research from women across the mathematical sciences working in academia, government, and industry, as well as featured women across the career spectrum: undergraduates, graduate students, postdocs, and professionals. The book is divided into eight parts, opening with a plenary talk and followed by a combination of research paper contributions and survey papers in the different areas of mathematics represented at the symposium: algebraic combinatorics and graph theory algebraic biology commutative algebra analysis, probability, and PDEs topology applied mathematics mathematics education

Groups, Combinatorics and Geometry

Groups, Combinatorics and Geometry PDF Author: Martin W. Liebeck
Publisher: Cambridge University Press
ISBN: 0521406854
Category : Mathematics
Languages : en
Pages : 505

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Book Description
This volume contains a collection of papers on the subject of the classification of finite simple groups.

Graphs from Rings

Graphs from Rings PDF Author: David F. Anderson
Publisher: Springer Nature
ISBN: 3030884104
Category : Mathematics
Languages : en
Pages : 548

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Book Description
This book gives an overview of research on graphs associated with commutative rings. The study of the connections between algebraic structures and certain graphs, especially finite groups and their Cayley graphs, is a classical subject which has attracted a lot of interest. More recently, attention has focused on graphs constructed from commutative rings, a field of study which has generated an extensive amount of research over the last three decades. The aim of this text is to consolidate this large body of work into a single volume, with the intention of encouraging interdisciplinary research between algebraists and graph theorists, using the tools of one subject to solve the problems of the other. The topics covered include the graphical and topological properties of zero-divisor graphs, total graphs and their transformations, and other graphs associated with rings. The book will be of interest to researchers in commutative algebra and graph theory and anyone interested in learning about the connections between these two subjects.

Recent Developments in Lie Algebras, Groups and Representation Theory

Recent Developments in Lie Algebras, Groups and Representation Theory PDF Author: Kailash C. Misra
Publisher: American Mathematical Soc.
ISBN: 0821869175
Category : Mathematics
Languages : en
Pages : 330

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Book Description
This book contains the proceedings of the 2009-2011 Southeastern Lie Theory Workshop Series, held October 9-11, 2009 at North Carolina State University, May 22-24, 2010, at the University of Georgia, and June 1-4, 2011 at the University of Virginia. Some of the articles, written by experts in the field, survey recent developments while others include new results in Lie algebras, quantum groups, finite groups, and algebraic groups.

Model Theory of Groups and Automorphism Groups

Model Theory of Groups and Automorphism Groups PDF Author: David M. Evans
Publisher: Cambridge University Press
ISBN: 052158955X
Category : Mathematics
Languages : en
Pages : 232

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Book Description
Surveys recent interactions between model theory and other branches of mathematics, notably group theory.