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arXiv · 0904.0524

Determinantal divisors of products of matrices over Dedekind domains

Marc Ensenbach
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Abstract

Given three lists of ideals of a Dedekind domain, the question is raised, whether there exist two matrices A and B with entries in the given Dedekind domain, such that the given lists of ideals are the determinantal divisors of A, B, and AB, respectively. To answer this question, necessary and sufficient conditions are developed in this article.

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Marc Ensenbach. 2009-04-03. Determinantal divisors of products of matrices over Dedekind domains. https://arxiv.org/abs/0904.0524

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