Reduction of matrices over orders of imaginary quadratic fields |
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Authors: | Miroslav Kureš Ladislav Skula |
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Institution: | Institute of Mathematics, Brno University of Technology, Technická 2, 61669 Brno, Czech Republic |
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Abstract: | A special decomposition (called the near standard form) of (1,2)-matrices over a ring is introduced and a method for a reduction of such matrices is explained. This can be applied for a detection of elementary second order matrices among invertible second order matrices. The tool is used in detail over orders of imaginary quadratic fields, where an algorithm, a number of properties and examples are presented. |
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Keywords: | 13F07 15A33 11R11 |
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