Magma package ArtinAlgebras. This package contains functions for handling commutative algebras over fields (e.g. matrix algebras), such as the computation of the decomposition of such an algebra into a direct product of its localisations, and the computation of an isomorphic affine algebra with few relations. Functions testing certain properties (e.g. the Gorenstein property) are included. The package is needed for the Magma packages Weight1, HeckeAlgebra and pAdicAlgebras.

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  1. Tsaknias, Panagiotis; Wiese, Gabor: Topics on modular Galois representations modulo prime powers (2017)