Category Theory
Events, Journals, Research Groups, A Gentle Introduction to Category Theory, Categorical Myths and Legends, Categories Home Page, Categories, Quantization, and Much More, Category Theory, Category Theory and Homological Algebra, Computational Category Theory, CT Category Theory, Descent and Category Theory Connections, Groupoid Home Page
Conferences
Calendars, Past Conferences, Asymptotic and Probabilistic Methods in Geometric , ERLOGOL-2005, Geometric Group Theory, ILAS 2005, Mile High Conference on Quasigroups, Loops and Non, The Geometry of the Word Problem, The Geometry of the Word Problem for Finitely Gene, Universal Algebra and Lattice Theory
Education
Algebra Answers From Allexperts, Algebra Story and Word Problems, Test Yourself Algebra Flash Cards, The Algebra Page, Virginia Algebra Resource Center
Field Theory
Field Arithmetic Archive, Field Theory -- from MathWorld, Field Theory and Polynomials, Galois Field Package, Galois Theory, Math Forum - Fields, Solving the Quintic by Iteration, Solving the Quintic with Mathematica, The Solution to the Quartic Equation, The Valuation Theory Home Page
Geometric Algebra
Research Groups, Advances in Applied Clifford Algebras, Advances in Applied Clifford Algebras, Clifford, GA-Net, Geometric Algebra and its Applications in Mathemat, Geometric Calculus Research and Development, ICCA7, International Clifford Algebra Society, Maths for (Games) Programmers: Multivector Methods, The CLU Project
Group Theory
Tables, ArXiv Front: GR Group Theory, Binary Coordinate Systems, Broue's Abelian Defect Group Conjecture, Coxeter/Weyl Tutorial, GAP - Groups, Algorithms and Programming, Group Action Forum, Group Pub Forum Home Page, International Society for Group Theory in Cognitiv, Introduction to Group Theory, Mod-2 Cohomology of 2-Groups
High School
Algebra - Mathematical Abstraction from Concrete E, Algebra - One On One, Algebra Homework Help, Online Solvers, Algebra Is Arithmetic Backwards, Algebra Lessons, Algebra Notes, Algebra Online Learning Sites, Algebra Review in Ten Lessons, Algebra Story Problems, Algebra Wizard
History
People, Highlights in the History of Algebra (1850 BC- 188, History of Modern Algebra, History of Polynomial Equations
Linear Algebra
Abstract Linear Spaces, Elementary Linear Algebra, Elements of Abstract and Linear Algebra, Hermann Grassmann and the Creation of Linear Algeb, Linalg.org, Linear Algebra - Preliminary lectures, Linear Algebra and Applications Textbook, Linear Algebra from MathWorld, Linear Algebra Glossary, Linear Algebra Textbook
People
Adams, William W., Aramova, Annetta, Arnold, Elizabeth A., Ash, Robert, Barwick, Clark, Bazzotti, Laura, Bergeron, François, Cain, Alan J., Camina, Rachel, Chapman, Scott
Publications
Journals, Arxiv: AC Commutative Algebra, Elements of Abstract and Linear Algebra, by Edwin , Exploratory Galois Theory on the Web, Finite Rank Torsion Free Modules over Dedekind Dom, The Book of Involutions
Research Groups
(Austria) Johannes Kepler Universität Linz, (Belgium) Limburgs Universitair Centrum, (EU) Invariants and Representations of Algebras, (Germany) Bielefeld BIREP, (India) Indian Institute of Technology, Bombay, (Netherlands) Radboud University Nijmegen, (Norway) University of Science and Technology, Tro, (Portugal) Universidade de Lisboa, (UK) B L O C, (UK) LOW Study Group
Ring Theory
arXiv Front: RA Rings and Algebras, Associative Rings and Algebras, Basic Books on Rings and Modules, Group Photographs from Noncommutative Ring Theory , Nonassociative Rings and Algebras, Ring Theory Resources, The Commutative Ring Theory Webring Home Page
Software
REDUCE, A Tutorial Introduction To AXIOM, Albert, Aldor, Algebra Cheat, Algebra Helper, Algebra Problem Solver, Algebra Word Problem Tutor:Miss Lindquist, AXIOM, Axiom Computer Algebra System, CMAT
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 and Linear Algebra
A forum for students on abstract algebra and linear algebra.
Algebra Links
From Spartanburg County School District Two.
Algebra Universalis List of Researchers
Compiled by G. Gratzer.
Algebraic Areas of Mathematics
Topics include number theory, groups and sets, commutative rings, algebraic geometry, and linear algebra.
All About Circuits - Boolean Algebra
An introduction to boolean algebra from the perspective of electronic engineering.
An Introduction to the Algebraic Specification of
Jean Baillie, Department of Computer Science, University of Hertfordshire.
Catalogue of Algebraic Systems.
Summary of and links to online materials concerning algebraic systems: semigroups, groups, rings, algebras, groupoids, and categories.
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 Alge
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.
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.
Lecture Notes in Algebra and Number Theory
Andrew Baker, University of Glasgow.
Macdonald Polynomial Page
Includes information about the Ribbon Rule, as well as link about symmetric functions and representation theory.
Macdonald Polynomials and the n! Conjecture
Manuscripts and Publications.
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.
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.
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.
VectorLand
An online course to get to grips with 3D vectors. Most of the material is about UK A-level difficulty.