Rings, Fields and Groups
Title | Rings, Fields and Groups PDF eBook |
Author | R. B. J. T. Allenby |
Publisher | Butterworth-Heinemann |
Pages | 383 |
Release | 1991 |
Genre | Mathematics |
ISBN | 9780340544402 |
Provides an introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses
The Algebraic Structure of Group Rings
Title | The Algebraic Structure of Group Rings PDF eBook |
Author | Donald S. Passman |
Publisher | Courier Corporation |
Pages | 754 |
Release | 2011-01-01 |
Genre | Mathematics |
ISBN | 0486482065 |
"'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"--
Rings, Groups, and Algebras
Title | Rings, Groups, and Algebras PDF eBook |
Author | X. H. Cao |
Publisher | CRC Press |
Pages | 352 |
Release | 2020-12-22 |
Genre | Mathematics |
ISBN | 1000153347 |
"Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more."
Groups, Rings and Group Rings
Title | Groups, Rings and Group Rings PDF eBook |
Author | A. Giambruno |
Publisher | American Mathematical Soc. |
Pages | 283 |
Release | 2009 |
Genre | Mathematics |
ISBN | 0821847716 |
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.
Rings, Modules, Algebras, and Abelian Groups
Title | Rings, Modules, Algebras, and Abelian Groups PDF eBook |
Author | Alberto Facchini |
Publisher | CRC Press |
Pages | 530 |
Release | 2020-02-10 |
Genre | Mathematics |
ISBN | 9780824750817 |
Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological
Algebra in Action
Title | Algebra in Action PDF eBook |
Author | Shahriar Shahriari |
Publisher | |
Pages | 675 |
Release | 2017 |
Genre | Algebra |
ISBN | 9781470436612 |
This text—based on the author's popular courses at Pomona College—provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual definitions and theorems, there is ample discussion to help students build intuition and learn how to think about the abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, and, to facilitate active learning and self-study, hints and short answers for many of the problems are provided. There are full solutions to over 100 problems in order to augment the text and to model the writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the reader that the subject is full of unexpected results.
Groups, Rings, Modules
Title | Groups, Rings, Modules PDF eBook |
Author | Maurice Auslander |
Publisher | Courier Corporation |
Pages | 484 |
Release | 2014-06-01 |
Genre | Mathematics |
ISBN | 048679542X |
Classic monograph covers sets and maps, monoids and groups, unique factorization domains, localization and tensor products, applications of fundamental theorem, algebraic field extension, Dedekind domains, and much more. 1974 edition.