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PolyBoRi is implemented as a C++ library for Polynomials over Boolean Rings, which provides high-level data types for Boolean polynomials. A python-interface yields extensible algorithms for computing Groebner bases over Boolean Rings.
Many computational problems need arithmetic operations in polynomial finite rings over Z/nZ, where n is an integer (n>1). This library provides efficient operations for applications such as integer factorization and primality testing.
GJAL is a collection of generic class definitions in GJ/Generic Java/JSR-014 that outlines algebraic structures such as Monoids, SemiGroups, Groups, Rings, Fields and various Domains.
PerMuVAR was a library for the Computer Algebra System MuPAD (http://www.mupad.de) for computations in invariant rings of permutation groups. It's now part of the algebraic combinatorics package MuPAD-Combinat (http://mupad-combinat.sf.net/)
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