Almost triangular matrices over Dedekind domains (Q1970280)
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scientific article; zbMATH DE number 1417974
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost triangular matrices over Dedekind domains |
scientific article; zbMATH DE number 1417974 |
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Almost triangular matrices over Dedekind domains (English)
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30 November 2001
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Two \(m\times n\) matrices \(A\) and \(B\) over a ring \(R\) are called equivalent if \(B=PAQ\) for some \(P\in GL_m(R)\) and \(Q\in GL_n(R)\). The authors of this paper show that every matrix over a Dedekind domain is equivalent to a direct sum of matrices \(A=(a_{i,j})\) with \(a_{i,j}=0\) when \(j>i+1\).
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almost triangular matrices
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Dedekind domain
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equivalent matrices
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