John A. Beachy

Professor Emeritus of Mathematical Sciences
Distinguished Teaching Professor
Department of Mathematical Sciences
Northern Illinois University
DeKalb, IL 60115

office: Watson 359   |   telephone: (815) 753-6757   |   email: beachy@math.niu.edu


General information for math students

Courses I taught 2002 - 2010
These webpages usually include the syllabus, supplementary material, exams and quizzes (some with solutions), homework, etc.

For students using Abstract Algebra, 3rd Ed.:     Study Guide (posted 1/6/2012)     |     Review of Groups and Galois Theory
        OnLine Study Guide (keyed to Abstract Algebra, 2nd Ed.)

Abstract Algebra OnLine

About my books

Introductory Lectures on Rings and Modules, Cambridge University Press   |   Class Notes

Abstract Algebra, 3rd Ed, Waveland Press, co-authored with Bill Blair   |   Study Guide   |   Review of Groups and Galois Theory

Abstract Algebra, 2nd Ed, Waveland Press, co-authored with Bill Blair   |   OnLine Study Guide

Abstract Algebra with a Concrete Introduction, Prentice-Hall, co-authored with Bill Blair

Research interests

My research studies noncommutative rings, from the point of view of their categories of modules. I am primarily interested in extending localization techniques from the commutative to the noncommutative case. One approach studies injective modules and quotient categories. A second and rather different approach uses the universal localization at a prime ideal.

Some publications, available in pdf format.   |   List of publications

A comprehensive list of ring theorists is maintained by Allen Bell.

MathSciNet (at Rice University)

Personal interests

I have an interest in international education, since I graduated from Woodstock School and Goshen College. I completed my Ph.D. at Indiana University, in 1967, then taught for two years at Goshen College. In addition to teaching a NIU for forty one years, I have been a visitor at McGill University, University of London (Bedford College), the University of Washington, Math Dept, and the University of Glasgow, Math Dept.