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arXiv · 1406.3523

Algorithm for computing the factor ring of an ideal in Dedekind domain with finite rank

Dandan Huang·Yingpu Deng
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Abstract

We give an algorithm for computing the factor ring of a given ideal in a Dedekind domain with finite rank, which runs in deterministic and polynomial-time. We provide two applications of the algorithm: judging whether a given ideal is prime or prime power. The main algorithm is based on basis representation of finite rings which is computed via Hermite and Smith normal forms.

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Dandan Huang, Yingpu Deng. 2014-06-13. Algorithm for computing the factor ring of an ideal in Dedekind domain with finite rank. https://arxiv.org/abs/1406.3523

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