Professor Emeritus of Mathematical Sciences
Distinguished Teaching Professor
Department of Mathematical Sciences
Northern Illinois University
DeKalb, IL 60115
office: Watson 359
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telephone: (815) 753-0567
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my departmental email address: jbeachy at niu.edu
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NIU email
Ring Theory Seminar (slides): 10/31/2018 11/07/2018 11/14/2018
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.:
A Study Guide for Beginners
(203 pages, pdf, posted 1/14/2014)
Review of Groups and Galois Theory
(55 pages, pdf, posted 1/11/2007)
Selected Topics in Group Theory
(25 pages, pdf, posted 1/12/2007)
For anyone still using Abstract Algebra, 2rd Ed.:
OnLine Study Guide
Abstract Algebra,
3rd Ed, Waveland Press, co-authored with Bill Blair
Available online:
A Study Guide for Beginners
Available online:
Review of Groups and Galois Theory
Abstract Algebra: Study Guide, printed by CreateSpace, an Amazon.com company
Abstract Algebra,
2nd Ed, Waveland Press, co-authored with Bill Blair
Available online:
OnLine Study Guide
Abstract Algebra with a Concrete Introduction, Prentice-Hall, co-authored with Bill Blair
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.
Publications available in pdf format. | Complete list of publications
MathSciNet (at NIU libraries). Click on Databases: Core Databases
MathSciNet (at Rice University)