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Algebraic Number Theoretic And Topological Aspects Of Ring Theory


Algebraic Number Theoretic And Topological Aspects Of Ring Theory
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Algebraic Number Theoretic And Topological Aspects Of Ring Theory


Algebraic Number Theoretic And Topological Aspects Of Ring Theory
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Author : Jean-Luc Chabert
language : en
Publisher: Springer Nature
Release Date : 2023-07-07

Algebraic Number Theoretic And Topological Aspects Of Ring Theory written by Jean-Luc Chabert and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-07 with Mathematics categories.


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.



Multiplicative Ideal Theory And Factorization Theory


Multiplicative Ideal Theory And Factorization Theory
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Author : Scott Chapman
language : en
Publisher: Springer
Release Date : 2016-07-29

Multiplicative Ideal Theory And Factorization Theory written by Scott Chapman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-29 with Mathematics categories.


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.



A Brief Guide To Algebraic Number Theory


A Brief Guide To Algebraic Number Theory
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Author : H. P. F. Swinnerton-Dyer
language : en
Publisher: Cambridge University Press
Release Date : 2001-02-22

A Brief Guide To Algebraic Number Theory written by H. P. F. Swinnerton-Dyer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02-22 with Mathematics categories.


Broad graduate-level account of Algebraic Number Theory, first published in 2001, including exercises, by a world-renowned author.



Twelve Papers On Topology Algebra And Number Theory


Twelve Papers On Topology Algebra And Number Theory
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date : 1966-12-31

Twelve Papers On Topology Algebra And Number Theory written by and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966-12-31 with categories.




Algebra Mathematical Logic Number Theory Topology


Algebra Mathematical Logic Number Theory Topology
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Author : Ivan Matveevich Vinogradov
language : en
Publisher: American Mathematical Soc.
Release Date : 1986

Algebra Mathematical Logic Number Theory Topology written by Ivan Matveevich Vinogradov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Algebra categories.


Collection of papers on the current research in algebra, mathematical logic, number theory and topology.



Exercises In Modules And Rings


Exercises In Modules And Rings
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Author : T.Y. Lam
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-08

Exercises In Modules And Rings written by T.Y. Lam and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-08 with Mathematics categories.


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.



Ring Theory


Ring Theory
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Author :
language : en
Publisher: Academic Press
Release Date : 1972-04-18

Ring Theory written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-04-18 with Mathematics categories.


Ring Theory



Basic Modern Algebra With Applications


Basic Modern Algebra With Applications
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Author : Mahima Ranjan Adhikari
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-08

Basic Modern Algebra With Applications written by Mahima Ranjan Adhikari and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-08 with Mathematics categories.


The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a way that it encourages independent thinking and motivates students towards further study. The book covers all major topics in group, ring, vector space and module theory that are usually contained in a standard modern algebra text. In addition, it studies semigroup, group action, Hopf's group, topological groups and Lie groups with their actions, applications of ring theory to algebraic geometry, and defines Zariski topology, as well as applications of module theory to structure theory of rings and homological algebra. Algebraic aspects of classical number theory and algebraic number theory are also discussed with an eye to developing modern cryptography. Topics on applications to algebraic topology, category theory, algebraic geometry, algebraic number theory, cryptography and theoretical computer science interlink the subject with different areas. Each chapter discusses individual topics, starting from the basics, with the help of illustrative examples. This comprehensive text with a broad variety of concepts, applications, examples, exercises and historical notes represents a valuable and unique resource.



Topics In Group Rings


Topics In Group Rings
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Author : Sudarshan K. Sehgal
language : en
Publisher:
Release Date : 1978

Topics In Group Rings written by Sudarshan K. Sehgal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.


The group ring KG of the group G over a commutative unital ring K comprises an attractive object of study. This is one of the few algebraic structures that allow for explicit computations. Several easily formulated questions are associated with this topic. Many interesting results have been obtained in this area by using deep results and techniques from group theory, ring theory, and number theory. Most of the results presented and techniques used have a number theoretic flavor. Aimed at advanced graduate students and research mathematicians in algebra.



Homotopy Theory An Introduction To Algebraic Topology


Homotopy Theory An Introduction To Algebraic Topology
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Author :
language : en
Publisher: Academic Press
Release Date : 1975-11-12

Homotopy Theory An Introduction To Algebraic Topology written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-11-12 with Mathematics categories.


Homotopy Theory: An Introduction to Algebraic Topology