algebra

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start [Relational Algebra]

Axiom Computer Algebra System

Axiom is a general purpose Computer Algebra system. It is useful for research and development of mathematical algorithms. http://axiom.axiom-developer.org/index.html
http://www-gap.mcs.st-and.ac.uk/

GAP System for Computational Discrete Algebra

GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory . GAP provides a programming language , a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. See also the overview and the description of the mathematical capabilities .