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math.AC2017★ 1 cited
A software package to compute automorphisms of graded algebras
Simon Keicher
We present a library autgradalg.lib for the free computer algebra system Singular to compute automorphisms of integral, finitely generated -algebras that are graded poi…
math.AC2015
A test for monomial containment
Simon Keicher, Thomas Kremer
We present an algorithm to decide whether a given ideal in the polynomial ring contains a monomial without using Gröbner bases, factorization or sub-resultant computations.