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1. Information About Algebra

This article is about the branch of mathematics.&;For other uses, see Algebra. Algebra is a branch of mathematics concerning the study of structure, relation and quantity.
www.thefreedictionary.com )

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A Catalogue of Lattices

By Gabriele Nebe and Neil Sloane.
(http://www.research.att.com/~njas/lattices/)

Abstract Algebra

Lecture notes by David Wilkins, Trinity College, Dublin. Topics in Number Theory; Group Theory; Galois Theory.
(http://www.maths.tcd.ie/~dwilkins/Courses/311/)

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.
(http://www.math.niu.edu/~beachy/aaol/)

Abstract Algebra: The Basic Graduate Year

A downloadable text in abstract algebra at the beginning graduate level by Robert Ash.
(http://www.math.uiuc.edu/~r-ash/)

Abstract and Linear Algebra

A forum for students on abstract algebra and linear algebra.
(http://www.math.miami.edu/forum/algebra/)

Algebra Bibliography

Available by FTP in BibTeX format.
(ftp://pell.anu.edu.au/pub/bib/)

Algebra Links

From Spartanburg County School District Two.
(http://www.spartanburg2.k12.sc.us/links/algebra.htm)

Algebra Universalis List of Researchers

Compiled by G. Gratzer.
(http://www.maths.umanitoba.ca/homepages/au/Researchers.html)

Algebraic Areas of Mathematics

Topics include number theory, groups and sets, commutative rings, algebraic geometry, and linear algebra.
(http://www.math.niu.edu/~rusin/known-math/index/tour_alg.htm)

All About Circuits - Boolean Algebra

An introduction to boolean algebra from the perspective of electronic engineering.
(http://www.allaboutcircuits.com/vol_4/chpt_7/index.html)

An Introduction to the Algebraic Specification of Abstract Data Types

Jean Baillie, Department of Computer Science, University of Hertfordshire.
(http://homepages.feis.herts.ac.uk/~jean/algspec/pr.html)

Arxiv: AC Commutative Algebra

Articles cover commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
(http://front.math.ucdavis.edu/math.AC)

Catalogue of Algebraic Systems.

Summary of and links to online materials concerning algebraic systems: semigroups, groups, rings, algebras, groupoids, and categories.
(http://www.math.usf.edu/~eclark/algctlg/)

Center for Commutative Algebra

A site for the commutative algebra community, including news, conference and preprint announcements, and a huge list of algebraists.
(http://www.commalg.org/)

Cohomology of Modules over the Mod 2 Steenrod Algebra

Robert R. Bruner, Wayne State University. Tables in PS or GIF formats.
(http://www.math.wayne.edu/~rrb/cohom/)

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.
(http://www.clarku.edu/~djoyce/complex/)

Elements of Abstract and Linear Algebra, by Edwin H. Connell

Full online book on abstract algebra with emphasis on linear algebra. Format: DVI, PDF, PS and gzipped-PS.
(http://www.math.miami.edu/~ec/book/)

FDLIST

Information on representation theory of finite dimensional algebras. Papers, meetings, places, people, jobs, journals, software.
(http://www.mathematik.uni-bielefeld.de/birep/fdlist.html)

Finite Rank Torsion Free Modules over Dedekind Domains

An unfinished book by Lee Lady.
(http://www.math.Hawaii.Edu/~lee/book/)

Grassmann Algebra

A draft text by John Browne: Exploring applications of extended vector algebra with Mathematica. PDF.
(http://www.ses.swin.edu.au/homes/browne/grassmannalgebra/boo)

Groupoid Home Page

Maintained by Birant Ramazan at the Institute of Mathematics of the Romanian Academy.
(http://pompeiu.imar.ro/~ramazan/groupoid/)

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.
(http://www.jmilne.org/math/)

Homogeneous Transformation Matrices

Explicit n-dimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations.
(http://www.silcom.com/~barnowl/HTransf.htm)

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.
(http://www.win.tue.nl/~ida/)

Intro to Abstract Algebra

Paul Garrett's detailed and comprehensive lecture notes in abstract algebra.
(http://www.math.umn.edu/~garrett/m/intro_algebra/index.shtml)

Lecture Notes in Algebra and Number Theory

Andrew Baker, University of Glasgow.
(http://www.maths.gla.ac.uk/~ajb/course-notes.html)

Linear Algebra WebNotes by Dr. Mark Sapir

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.
(http://www.math.vanderbilt.edu/~msapir/cgi-bin/visit.cgi)

Macdonald Polynomial Page

Includes information about the Ribbon Rule, as well as link about symmetric functions and representation theory.
(http://garsia.math.yorku.ca/MPWP/)

Macdonald Polynomials and the n! Conjecture

Manuscripts and Publications.
(http://schur.ucsd.edu/~garsia/)

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.
(http://mathforum.org/algpow/)

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.
(http://www.geocities.com/zerodivisor/)

Quantum Lie Algebras

Current status of research on Quantum Lie algebras and bibliography. Includes Mathematica notebooks for calculations and animations of quantum root systems.
(http://www-users.york.ac.uk/~gwd2/q-lie.html)

Real Reductive Lie Groups

Notes for lectures by Amer Habib at the Mehta Research Institute in 1997-98. DVI, PS.
(http://www.mri.ernet.in/~mathweb/lecture/habib-reductive97/)

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.
(http://www-unix.mcs.anl.gov/~mccune/papers/robbins/)

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.
(http://groups.yahoo.com/group/univalg/)

What IS a Jordan-like Algebra?

Jordan Algebras, Generalizations, and Algebraic Geometry: notes and links by Tony Smith.
(http://www.innerx.net/personal/tsmith/Jordan.html)

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