Contains many of the definitions and theorems from the area of mathematics generally called abstract algebra. 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.
Paul Garrett's detailed and comprehensive lecture notes in abstract algebra.
Enter the world of 8 and 16 dimensional hypercomplex numbers and discover that the laws that we take as granted do not always hold.
An HTML-based book by Arjeh M. Cohen, Hans Cuypers and Hans Sterk. It focuses on an algorithmic approach to algebraic structures. Many of these tools and examples use the computer algebra package GAP. Site has samples and errata.
Topics include number theory, groups and sets, commutative rings, algebraic geometry, and linear algebra.
By Gabriele Nebe and Neil Sloane.
Lecture notes by David Wilkins, Trinity College, Dublin. Topics in Number Theory; Group Theory; Galois Theory.
A web text by William McCune describing the solution of this problem by a theorem-proving program, with input files and the proofs.
A site for the commutative algebra community, including news, conference and preprint announcements, and a huge list of algebraists.
From Spartanburg County School District Two.