Florian Walsh

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math.AC2024

Computing the unit group of a commutative finite $Z$ -algebra

Martin Kreuzer, Florian Walsh

For a commutative finite $Z$ -algebra, i.e., for a commutative ring $R$ whose additive group is finitely generated, it is known that the group of units of $R$ is finitely g…

math.AC2024

Efficient Algorithms for Finite $Z$ -Algebras

Martin Kreuzer, Florian Walsh

For a finite $Z$ -algebra $R$ , i.e., for a $Z$ -algebra which is a finitely generated $Z$ -module, we assume that $R$ is explicitly given by a system of $\m…

Computing the unit group of a commutative finite Z-algebra

Efficient Algorithms for Finite Z-Algebras

Computing the unit group of a commutative finite $Z$ -algebra

Efficient Algorithms for Finite $Z$ -Algebras