Article ID Journal Published Year Pages File Type
4601592 Linear Algebra and its Applications 2010 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory