**Abstract Algebra: The Basic Graduate Year**

by Robert B. Ash

2002

**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**

(multiple PDF files)

## Similar books

**On Lie Algebras Of Prime Characteristic**

by

**George B. Seligman**-

**American Mathematical Society**

The purpose of the present memoir is to demonstrate the applicability, under certain restrictions on the algebra and the base field, of the techniques used in the determination of all simple Lie algebras of characteristic zero.

(

**1320**views)

**Infinite-dimensional Lie Algebras**

by

**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.

(

**7963**views)

**Lie Algebras**

by

**Shlomo Sternberg**

The Campbell Baker Hausdorff formula, sl(2) and its representations, classical simple algebras, Engel-Lie-Cartan-Weyl, conjugacy of Cartan subalgebras, simple finite dimensional algebras, cyclic highest weight modules, Serreās theorem, and more.

(

**12754**views)

**An Introduction to Nonassociative Algebras**

by

**Richard D. Schafer**-

**Project Gutenberg**

Concise study presents in a short space some of the important ideas and results in the theory of nonassociative algebras, with particular emphasis on alternative and (commutative) Jordan algebras. Written as an introduction for graduate students.

(

**9073**views)