Elementary reduction of matrices over adequate domain |
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| Author |
Faculty of Mechanics and Mathematics, Lviv National University
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| Abstract |
We prove that if $R$ is an adequate domain, then every $k\times
(k+2)$ and $(k+2)\times k$ matrices, where $k\ge2$, admits a
diagonal reduction by elementary transformations.
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| Keywords |
adequate domain, matrices, diagonal reduction, elementary transformations
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| DOI |
doi:10.30970/ms.17.2.115-116
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Reference |
1. Helmer O. The elementary divisor theorem for certain rings without chain condition, Bull. Amer. Math. Soc. 49 (1943), 225–236.
2. Kaplansky I. Elementary divisors and modules, Trans. Amer. Math. Soc. 166 (1966), 464–491. 3. Zabavsky B. Reduction of matrices over right Bezout rings with finite stable rank, Matematychni Studii 16 (2001), no.2, 115–116. |
| Pages |
115-116
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| Volume |
17
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| Issue |
2
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| Year |
2002
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| Journal |
Matematychni Studii
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| Full text of paper | |
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