This site contains many of the definitions and theorems from the area of mathematics generally called abstract algebra. It is intended for undergraduate students taking an abstract algebra class at the junior/senior level, as well as for students taking their first graduate algebra course. It is based on the books Abstract Algebra, by John A. Beachy and William D. Blair, and Abstract Algebra II, by John A. Beachy.

The site is organized by chapter. The page containing the Table of Contents also contains an index of definitions and theorems, which can be searched for detailed references on subject area pages. Topics from the first volume are marked by the symbol and those from the second volume by the symbol . To make use of this site as a reference, please continue on to the Table of Contents.


TABLE OF CONTENTS (Frames version)

Interested students may also wish to refer to closely related sites that include many solved problems:

A Study Guide for Beginners for Abstract Algebra, 3nd edition, in .pdf format.
Review of Groups and Galois Theory for Abstract Algebra, 3nd edition, in .pdf format.
OnLine Study Guide for Abstract Algebra, 2nd edition.

The online problems in A Study Guide for Beginners have been published in a book that contains the statements of definitions and theorems from Abstract Algebra, 3rd edition, so it can be used as a "stand-alone" set of solved problems that can be used with any text.

Abstract Algebra: Study Guide, available though online booksellers.


Abstract Algebra, Third Edition, by John A. Beachy and William D. Blair
ISBN 1-57766-443-4, © 2006, 484 pages
Waveland Press, Inc. 4180 IL Route 83, Suite 101 Long Groves, Illinois, 60047-9580, Tel. 847 / 634-0081; email: info@waveland.com

Introductory Lectures on Rings and Modules, by John A. Beachy
ISBN 0-521-64407-0, © 1999, 238 pages
Cambridge University Press, London Mathematical Society Student Texts #47

The site is maintained by John Beachy as a service to students.
It was last modified on 1/12/2014.

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email: jbeachy@niu.edu | John Beachy's homepage | About this document