About the author
John A. Beachy is currently Professor Emeritus of Mathematical Sciences at Northern Illinois University, where he was a member of the faculty from 1969 to 2010. He has the title of Distinguished Teaching Professor (awarded in 1997). He received his Ph.D. from Indiana University-Bloomington in 1967, where his dissertation “Some Homological Classes of Rings and Modules” was directed by Professor Goro Azumaya. He is continuing to do research in noncommutative algebra.
Books
Abstract Algebra, 4TH ED
Published by Waveland Press (2019). Co-authored with William D. Blair.
This is an undergraduate/graduate text covering the traditional topics of groups, rings, and fields. It begins at a pace appropriate for students meeting serious proofs for the first time. As students mature, it progresses to a more demanding level. It typically introduces examples before developing the appropriate theories. It contains a large number of exercises at a variety of levels.
Abstract Algebra: Study Guide
Published by CreateSpace (2013), and avaliable on amazon.com.
This study guide consists of solved problems on groups, rings, and fields. It is organized around Chapters 1 through 6 of the corresponding text “Abstract Algebra”, but it is designed to be used independently of the text, since it includes the definitions and theorems from these chapters.
AN IMPORTANT NOTE: For any student who already owns a copy of the textbook, all of the problems, and their solutions, are available online (free of charge).
Introductory Lectures on rings and modules
Published by Cambridge University Press (1999).
This is a graduate level text whose focus is the study of the noncommutative aspects of rings and modules. The writing style will make it accessible to anyone with a background in basic abstract algebra. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates.