Frobby is a software system and project for computations with monomial ideals. Frobby is free software and it is intended as a vehicle for research on monomial ideals, as well as a useful practical tool for investigating monomial ideals.
The current functionality includes Hilbert series, maximal standard monomials, combinatorial optimization on monomial ideals, primary decomposition, irreducible decomposition, Alexander dual, associated primes, minimization and intersection of monomial ideals as well as the computation of Frobenius problems (using 4ti2) with very large numbers. Frobby is also able to translate between formats that can be used with several different computer systems, such as Macaulay 2, Monos, 4ti2, CoCoA4 and Singular. Thus Frobby can be used with any of those systems.