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 Elements of Abstract and Linear Algebra, by Edwin H. Connell 
- Complete textbook based on class notes. Includes examples of how to do proofs. Gives online access to Maple software. A tester generates different questions, but only the pre-linear algebra tester software is available to the public. Must register to use.
Abstract Algebra
Lecture notes by David Wilkins, Trinity College, Dublin. Topics in Number Theory; Group Theory; Galois Theory.
Abstract Algebra Online
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.
Abstract Algebra: The Basic Graduate Year
A downloadable text in abstract algebra at the beginning graduate level by Robert Ash.
Abstract and Linear Algebra
A forum for students on abstract algebra and linear algebra.
Algebra Bibliography
Available by FTP in BibTeX format.
Algebra Links
From Spartanburg County School District Two.
Algebra Universalis List of Researchers
Compiled by G. Gratzer.
Algebraic Areas of Mathematics
The algebraic areas of mathematics developed from abstracting key observations about our counting, arithmetic, algebraic manipulations, and symmetry. Typically these fields define their objects of study by just a few axioms, then consider examples, structure, and application of these objects. We have included here the combinatorial topics and number theory, each of which is arguably a distinctive area of mathematics; the MathMap suggests that these parts of mathematics (in shades of red) share definite affinities.
arXiv Front: RA Rings and Algebras
Rings and algebras section of the mathematics e-print arxiv.
Catalogue of Algebraic Systems.
Summary of and links to online materials concerning algebraic systems: semigroups, groups, rings, algebras, groupoids, categories, etc.
A Catalogue of Lattices
By Gabriele Nebe and Neil Sloane.
Center for Commutative Algebra
A site for the commutative algebra community, including news, conference and preprint announcements, and a huge list of algebraists.
Cohomology of Modules over the Mod 2 Steenrod Algebra
Robert R. Bruner, Wayne State University. Tables in PS or GIF formats.
Dave's Short Course on Complex Numbers
An introduction with math and a little history intended for those having a familiarity with ordinary real numbers and algebra.
FDLIST
Information on representation theory of finite dimensional algebras. Papers, meetings, places, people, jobs, journals, software.
Finite Rank Torsion Free Modules over Dedekind Domains
An unfinished book by Lee Lady.
Grassmann Algebra
A draft text by John Browne: Exploring applications of extended vector algebra with Mathematica. PDF.
Groupoid Home Page
Maintained by Birant Ramazan at the Institute of Mathematics of the Romanian Academy.
Home Page of J. S. Milne
Includes preprints and course notes on Group Theory, Fields and Galois Theory, Algebraic Geometry, Algebraic Number Theory,Modular Functions and Modular Forms, Elliptic Curves, Abelian Varieties, Etale Cohomology, and Class Field Theory.
Homogeneous Transformation Matrices
Explicit n-dimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations.
IDA: Algebra Interactive
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.
Intro to Abstract Algebra
Paul Garrett's detailed and comprehensive lecture notes in abstract algebra.
An Introduction to the Algebraic Specification of Abstract Data Types
Jean Baillie, Department of Computer Science, University of Hertfordshire.
Lecture Notes in Algebra and Number Theory
Andrew Baker, University of Glasgow.
Macdonald Polynomial Web Page
A collection of links to sites with information on Macdonald polynomials.
Macdonald Polynomials and the n! Conjecture
Manuscripts and Publications.
Math 101
Concepts of Modern Algebra. Outline of the text for an introductory Algebra course.
Math Forum: Algebra Problem of the Week
A weekly interactive project for algebra on the Internet. Challenging problems are posted and solutions appear on the Web.
Octonions and Sedenions
Enter the world of 8 and 16 dimensional hypercomplex numbers and discover that the laws that we take as granted do not always hold.
Quantum Lie Algebras
Current status of research on Quantum Lie algebras and bibliography. Includes Mathematica notebooks for calculations and animations of quantum root systems.
Real Reductive Lie Groups
Notes for lectures by Amer Habib at the Mehta Research Institute in 1997-98. DVI, PS.
Robbins Algebras Are Boolean
A web text by William McCune describing the solution of this problem by a theorem-proving program, with input files and the proofs.
Semi-Simple Lie Algebras and their Representations
A book written by Robert Cahn, in Postscript.
Univalg Mailing List
Mailing list for use by the Universal Algebra community. Universal Algebra is a technical branch of mathematics related to algebra and model theory.
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