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The Algebraic Structure of Group Rings

The Algebraic Structure of Group Rings PDF Author: Donald S. Passman
Publisher: Courier Corporation
ISBN: 0486482065
Category : Mathematics
Languages : en
Pages : 754

Book Description
"'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"--

The Algebraic Structure of Group Rings

The Algebraic Structure of Group Rings PDF Author: Donald S. Passman
Publisher: Courier Corporation
ISBN: 0486482065
Category : Mathematics
Languages : en
Pages : 754

Book Description
"'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"--

The Algebraic Structure of Group Rings

The Algebraic Structure of Group Rings PDF Author: Donald S. Passman
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 760

Book Description


The Algebraic Structure of Group Rings

The Algebraic Structure of Group Rings PDF Author: Donald S. Passman
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 740

Book Description
This book offers a coherent, reasonably complete account of the subject that would nevertheless be accessible to second-year graduate students in algebra. The first section is an introduction which examines trace maps, idempotents, and the augmentation ideal in detail. The second section focuses on rings, a wealth of material. The final section looks closely at Noetherian rings and drills down on all aspects of group ring manifestations.

Groups, Rings and Group Rings

Groups, Rings and Group Rings PDF Author: A. Giambruno
Publisher: American Mathematical Soc.
ISBN: 0821847716
Category : Mathematics
Languages : en
Pages : 283

Book Description
Represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28 - August 2, 2008, in Ubatuba, Brazil. This title contains results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras.

A Guide to Groups, Rings, and Fields

A Guide to Groups, Rings, and Fields PDF Author: Fernando Q. Gouvêa
Publisher: MAA
ISBN: 0883853558
Category : Mathematics
Languages : en
Pages : 329

Book Description
Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.

Algebraic Structures

Algebraic Structures PDF Author: George R. Kempf
Publisher: Springer Science & Business Media
ISBN: 3322802787
Category : Mathematics
Languages : en
Pages : 174

Book Description
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.

Algebraic Structures

Algebraic Structures PDF Author: Serge Lang
Publisher: Addison-Wesley Longman
ISBN:
Category : Mathematics
Languages : en
Pages : 192

Book Description


An Introduction to Algebraic Structures

An Introduction to Algebraic Structures PDF Author: Joseph Landin
Publisher: Courier Corporation
ISBN: 0486150410
Category : Mathematics
Languages : en
Pages : 275

Book Description
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.

Algebra

Algebra PDF Author: Louis Rowen
Publisher: CRC Press
ISBN: 1439863520
Category : Mathematics
Languages : en
Pages : 264

Book Description
This text presents the concepts of higher algebra in a comprehensive and modern way for self-study and as a basis for a high-level undergraduate course. The author is one of the preeminent researchers in this field and brings the reader up to the recent frontiers of research including never-before-published material. From the table of contents: - Groups: Monoids and Groups - Cauchyís Theorem - Normal Subgroups - Classifying Groups - Finite Abelian Groups - Generators and Relations - When Is a Group a Group? (Cayley's Theorem) - Sylow Subgroups - Solvable Groups - Rings and Polynomials: An Introduction to Rings - The Structure Theory of Rings - The Field of Fractions - Polynomials and Euclidean Domains - Principal Ideal Domains - Famous Results from Number Theory - I Fields: Field Extensions - Finite Fields - The Galois Correspondence - Applications of the Galois Correspondence - Solving Equations by Radicals - Transcendental Numbers: e and p - Skew Field Theory - Each chapter includes a set of exercises

Abstract Algebra

Abstract Algebra PDF Author: Stephen Lovett
Publisher: CRC Press
ISBN: 1482248913
Category : Mathematics
Languages : en
Pages : 717

Book Description
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