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
Infinite-dimensional Lie Algebrasby Iain Gordon - University of Edinburgh
Contents: Central extensions; Virasoro algebra; Heisenberg algebra; Enveloping algebras; Hands-on loop and affine algebras; Simple Lie algebras; Kac-Moody Lie algebras; Dynkin diagrams; Forms, Weyl groups and roots; Root spaces; Affine Lie algebras.
(13065 views)
Graduate Algebraby Leonard Evens - Northwestern University
Contents: Groups; Group actions on sets; Normal series; Ring theory; Modules; Hom and tensor; Field theory; Galois theory; Applications of Galois theory; Infinite extensions; Categories; Multilinear algebra; More ring theory; Localization; etc.
(14811 views)
Hopf Algebras, Quantum Groups and Yang-Baxter Equationsby Florin Felix Nichita (ed.) - MDPI AG
Various aspects of the Yang-Baxter equation, related algebraic structures, and applications are presented. The algebraic approach to bundles in non-commutative geometry and the definition of quantum real weighted projective spaces are reviewed.
(6518 views)
The Octonionsby John C. Baez - University of California
The octonions are the largest of the four normed division algebras. The author describes them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups.
(19868 views)