Article ID Journal Published Year Pages File Type
5773198 Linear Algebra and its Applications 2017 10 Pages PDF
Abstract
We study the existence of unimodular matrices with a prescribed submatrix over a ring R. In particular, when either R is Hermite and Dedekind finite or R has stable range one, we give necessary and sufficient conditions for the existence of these unimodular completions.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
On the existence of unimodular matrices with a prescribed submatrix
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