Algebraic, Number Theoretic, and Topological Aspects of Ring Theory
Algebraic, Number Theoretic, and Topological Aspects of Ring Theory

Author: Jean-Luc Chabert

Publisher: Springer Nature

Published: 2023-07-07

Total Pages: 473

ISBN-13: 3031288475

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This volume has been curated from two sources: presentations from the Conference on Rings and Polynomials, Technische Universität Graz, Graz, Austria, July 19 –24, 2021, and papers intended for presentation at the Fourth International Meeting on Integer-valued Polynomials and Related Topics, CIRM, Luminy, France, which was cancelled due to the pandemic. The collection ranges widely over the algebraic, number theoretic and topological aspects of rings, algebras and polynomials. Two areas of particular note are topological methods in ring theory, and integer valued polynomials. The book is dedicated to the memory of Paul-Jean Cahen, a coauthor or research collaborator with some of the conference participants and a friend to many of the others. This collection contains a memorial article about Paul-Jean Cahen, written by his longtime research collaborator and coauthor Jean-Luc Chabert.

Certain Number-Theoretic Episodes In Algebra
Certain Number-Theoretic Episodes In Algebra

Author: Sivaramakrishnan R

Publisher: CRC Press

Published: 2006-09-22

Total Pages: 660

ISBN-13: 1420015060

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Many basic ideas of algebra and number theory intertwine, making it ideal to explore both at the same time. Certain Number-Theoretic Episodes in Algebra focuses on some important aspects of interconnections between number theory and commutative algebra. Using a pedagogical approach, the author presents the conceptual foundations of commutati

Exercises in Modules and Rings
Exercises in Modules and Rings

Author: T.Y. Lam

Publisher: Springer Science & Business Media

Published: 2009-12-08

Total Pages: 427

ISBN-13: 0387488995

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This volume offers a compendium of exercises of varying degree of difficulty in the theory of modules and rings. It is the companion volume to GTM 189. All exercises are solved in full detail. Each section begins with an introduction giving the general background and the theoretical basis for the problems that follow.

Multiplicative Ideal Theory and Factorization Theory
Multiplicative Ideal Theory and Factorization Theory

Author: Scott Chapman

Publisher: Springer

Published: 2016-07-29

Total Pages: 414

ISBN-13: 331938855X

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This book consists of both expository and research articles solicited from speakers at the conference entitled "Arithmetic and Ideal Theory of Rings and Semigroups," held September 22–26, 2014 at the University of Graz, Graz, Austria. It reflects recent trends in multiplicative ideal theory and factorization theory, and brings together for the first time in one volume both commutative and non-commutative perspectives on these areas, which have their roots in number theory, commutative algebra, and algebraic geometry. Topics discussed include topological aspects in ring theory, Prüfer domains of integer-valued polynomials and their monadic submonoids, and semigroup algebras. It will be of interest to practitioners of mathematics and computer science, and researchers in multiplicative ideal theory, factorization theory, number theory, and algebraic geometry.

Ring Theory
Ring Theory

Author:

Publisher: Academic Press

Published: 1972-04-18

Total Pages: 333

ISBN-13: 008087357X

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Ring Theory

Algebraic Number Theory
Algebraic Number Theory

Author: Jürgen Neukirch

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 583

ISBN-13: 3662039834

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This introduction to algebraic number theory discusses the classical concepts from the viewpoint of Arakelov theory. The treatment of class theory is particularly rich in illustrating complements, offering hints for further study, and providing concrete examples. It is the most up-to-date, systematic, and theoretically comprehensive textbook on algebraic number field theory available.

Algebraic Number Theory and Algebraic Geometry
Algebraic Number Theory and Algebraic Geometry

Author: S. V. Vostokov

Publisher: American Mathematical Soc.

Published: 2002

Total Pages: 232

ISBN-13: 0821832670

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A. N. Parshin is a world-renowned mathematician who has made significant contributions to number theory through the use of algebraic geometry. Articles in this volume present new research and the latest developments in algebraic number theory and algebraic geometry and are dedicated to Parshin's sixtieth birthday. Well-known mathematicians contributed to this volume, including, among others, F. Bogomolov, C. Deninger, and G. Faltings. The book is intended for graduate students andresearch mathematicians interested in number theory, algebra, and algebraic geometry.