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Determinantal divisors of products of matrices over Dedekind domains

โœ Scribed by Marc Ensenbach

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
132 KB
Volume
432
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

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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