We present
StdPairs, a
SageMath library to compute standard pairs of a monomial
ideal over a pointed (nonnormal) affine semigroup ring. Moreover,
StdPairs provides
the associated prime ideals, the corresponding multiplicities, and an irredundant
irreducible primary decomposition of a monomial ideal. The library expands on the
standardPairs function on
Macaulay2 over polynomial rings, and is based on
algorithms from Matusevich and Yu (2020). We also provide methods that allow the
outputs from this library to be compatible with the
Normaliz package of
Macaulay2
and
SageMath.
Keywords
affine semigroups, standard pairs, monomial ideals,
semigroup rings
