Abstract Algebra: The Basic Graduate Year
by Robert B. Ash
2002
Number of pages: 407
Description:
This is a text for the basic graduate course in abstract algebra. It covers fundamental algebraic structures (groups, rings, fields and modules), and maps between them. The text is written in conventional style, the book can be used as a classroom text or as a reference. Solutions to all problems are included in the text.
Download or read it online for free here:
Download link
(2.8MB, PDF)
Similar books
Smarandache Ringsby W. B. Vasantha Kandasamy - American Research Press
The author embarked on writing this book on Smarandache rings (S-rings) specially to motivate both ring theorists and Smarandache algebraists to develop and study several important and innovative properties about S-rings.
(15873 views)
Commutator Theory for Congruence Modular Varietiesby Ralph Freese, Ralph McKenzie - Cambridge University Press
This book presents the basic theory of commutators in congruence modular varieties and some of its strongest applications. The authors take an algebraic approach, using some of the shortcuts that Taylor and others have discovered.
(15691 views)
Noncommutative Ringsby Michael Artin
From the table of contents: Morita equivalence (Hom, Bimodules, Projective modules ...); Localization and Goldie's theorem; Central simple algebras and the Brauer group; Maximal orders; Irreducible representations; Growth of algebras.
(13917 views)
An introduction to Algebra and Topologyby Pierre Schapira - University of Luxemburg
These lecture notes are an elementary introduction to the language of categories and sheaves. From the table of contents: Linear algebra over a ring; The language of categories; Sheaves (Flabby sheaves and soft sheaves, Cohomology of sheaves).
(14082 views)