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An Introduction to Algebraic Structures

An Introduction to Algebraic Structures
Author: Joseph Landin
Publisher: Courier Corporation
Total Pages: 275
Release: 2012-08-29
Genre: Mathematics
ISBN: 0486150410

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This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.


Algebraic Structures

Algebraic Structures
Author: George R. Kempf
Publisher: Springer Science & Business Media
Total Pages: 174
Release: 2012-12-06
Genre: Mathematics
ISBN: 3322802787

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In algebra there are four basic structures: groups, rings, fields and modules. In this book the theory of these basic structures is presented and the laws of composition - the basic operations of algebra - are studied. Essentially, no previous knowledge is required, it is only assumed as background that the reader has learned some linear algebra over the real numbers.Dieses Lehrbuch, verfasst von einem anerkannten amerikanischen Mathematiker, ist eine unkonventionelle Einführung in die Algebra. Es gibt vier grundlegende Strukturen in der Algebra: Gruppen, Ringe, Körper und Moduln. Das Buch behandelt die Theorie dieser Strukturen und beschreibt die Verknüpfungsregeln, die grundlegenden Operationen der Algebra. Die Darstellung ist elementar: es werden nur Kenntnisse der Linearen Algebra vorausgesetzt, weitere Fachkenntnisse sind nicht erforderlich.


Fundamental Structures of Algebra and Discrete Mathematics

Fundamental Structures of Algebra and Discrete Mathematics
Author: Stephan Foldes
Publisher: John Wiley & Sons
Total Pages: 362
Release: 2011-02-14
Genre: Mathematics
ISBN: 1118031431

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Introduces and clarifies the basic theories of 12 structural concepts, offering a fundamental theory of groups, rings and other algebraic structures. Identifies essentials and describes interrelationships between particular theories. Selected classical theorems and results relevant to current research are proved rigorously within the theory of each structure. Throughout the text the reader is frequently prompted to perform integrated exercises of verification and to explore examples.


The Algebraic Structure of Group Rings

The Algebraic Structure of Group Rings
Author: Donald S. Passman
Publisher: Courier Corporation
Total Pages: 754
Release: 2011-01-01
Genre: Mathematics
ISBN: 0486482065

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"'Highly recommended' by the Bulletin of the London Mathematical Society, this book offers a comprehensive, self-contained treatment of group rings. The subject involves the intersection of two essentially different disciplines, group theory and ring theory. The Bulletin of the American Mathematical Society hailed this treatment as 'a majestic account,' proclaiming it "encyclopedic and lucid." 1985 edition"--


A Physicists Introduction to Algebraic Structures

A Physicists Introduction to Algebraic Structures
Author: Palash B. Pal
Publisher: Cambridge University Press
Total Pages: 717
Release: 2019-05-23
Genre: Science
ISBN: 1108492207

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Algebraic structures including vector space, groups, topological spaces and more, all covered in one volume, showing the mutual connections.


Abstract Algebra

Abstract Algebra
Author: Stephen Lovett
Publisher: CRC Press
Total Pages: 717
Release: 2015-07-13
Genre: Mathematics
ISBN: 1482248913

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A Discovery-Based Approach to Learning about Algebraic StructuresAbstract Algebra: Structures and Applications helps students understand the abstraction of modern algebra. It emphasizes the more general concept of an algebraic structure while simultaneously covering applications. The text can be used in a variety of courses, from a one-semester int


Abstract Algebra

Abstract Algebra
Author: David R. Finston
Publisher: Springer
Total Pages: 194
Release: 2014-08-29
Genre: Mathematics
ISBN: 3319044982

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This text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra. Students are led to algebraic concepts and questions in a natural way through their everyday experiences. Applications include: Identification numbers and modular arithmetic (linear) error-correcting codes, including cyclic codes ruler and compass constructions cryptography symmetry of patterns in the real plane Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics, mathematics education, computer science, and engineering interested in applications of algebraic concepts.


Algebraic Structure of String Field Theory

Algebraic Structure of String Field Theory
Author: Martin Doubek
Publisher: Springer Nature
Total Pages: 223
Release: 2020-11-22
Genre: Science
ISBN: 3030530566

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This book gives a modern presentation of modular operands and their role in string field theory. The authors aim to outline the arguments from the perspective of homotopy algebras and their operadic origin. Part I reviews string field theory from the point of view of homotopy algebras, including A-infinity algebras, loop homotopy (quantum L-infinity) and IBL-infinity algebras governing its structure. Within this framework, the covariant construction of a string field theory naturally emerges as composition of two morphisms of particular odd modular operads. This part is intended primarily for researchers and graduate students who are interested in applications of higher algebraic structures to strings and quantum field theory. Part II contains a comprehensive treatment of the mathematical background on operads and homotopy algebras in a broader context, which should appeal also to mathematicians who are not familiar with string theory.


Algebra

Algebra
Author:
Publisher:
Total Pages: 0
Release: 2006
Genre: Mathematics
ISBN: 9780395977231

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Modern Algebra and the Rise of Mathematical Structures

Modern Algebra and the Rise of Mathematical Structures
Author: Leo Corry
Publisher: Birkhäuser
Total Pages: 463
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034879172

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This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.