- A Catalogue of Lattices
- A database project by Gabriele Nebe of the University of Ulm and Neil J. A. Sloane of AT&T Labs-Research.
- Abstract Algebra Online
- Includes definitions and theorems aimed at helping students at the junior and senior level in Abstract Algebra. Based on the books Abstract Algebra, by John A. Beachy and William D. Blair, and Abstract Algebra II, by John A. Beachy.
- Algebra Interactive
- An html-based book focusing on algebraic structures, ranging from the elementary structures of the integers, polynomial rings in one variable and symmetric groups to the abstract notions of groups, rings and fields.
- Algebra Links
- Provides links to various Algebra websites.
- Algebra Problem of the Week.
- Provides updated algebra problems, as well as archived problems, and links to additional math resources.
- Andrew Baker: Lecture notes
- Provides links to course notes, available in pdf. May also be available in dvi and ps.
- Catalogue of Algebraic Systems
- Provides links to various topics, including groupoids, groups, loops, monoids, near-rings, quasigroups, rings and semi-groups. Also includes additional links to other web pages on the subject.
- Center for Commutative Algebra
- Includes conference announcements, news and links to people in the Commalg community.
- Cohomology of Modules Over the Mod 2 Steenrod Algebra
- Presents Ext(M,F_2) for a number of modules. Two variants are presented.
- Course 311 Abstract Algebra
- Collection of lecture notes from the course taught at Trinity College, Dublin, Ireland, AY 2001-2002. Course includes Number Theory, Group Theory and Galois Theory. Files are available in dvi, pdf and postscript.
- Dave's Short Course on Complex Numbers
- An introduction designed for a general audience. Includes history and mathematics as well as the necessary background in ordinary real numbers and algebra.
- FDLIST
- An information list for representation theory of finite dimensional algebras. Includes a list of conferences as well as links to related papers, problems, questions and answers, people, journals, and software.
- Intro to Abstract Algebra 5245-46
- Includes links to Paul Garrett's notes for the course and quiz solutions. Files available in pdf.
- Introduction to the Algebraic Specification of Abstract Data Types
- Illustrates how equations may be used to quotient the term algebra and provide a sound though not complete proof system.
- Macdonald Polynomials
- Offers resources and results associated to the symmetric functions, for the most part, type A only. Also includes programs to compute ribbon operators and the ribbon rule in the Maple section, and a graphical explanation of the statistics by Garsia and Haglund for the q,t-Catalan numbers.
- Mathematical Atlas: Alegbraic Areas of Mathematics
- Site provides information on field groups, number theory, associative ring theory, category theory, and more.
- Octonions & Sedenions
- Provides basic algebraic properties of the 8 and 16 dimensional number system. Also includes a discussion of the Cayley-Dickson Construction.
- Purplemath
- Quiz and homework solutions, announcements, syllabi, and other course-specific materials for math students.
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