Diagonalization of matrices by elementary transformations over quasieuclidean rings (in Ukrainian) |
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| Author |
Lviv University, Department of Mechanics and Mathematics
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| Abstract |
The necessary and sufficient conditions under which a
quasieuclidean ring admits the diagonal reduction by elementary
transformations are found.
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| Keywords |
quasieuclidean ring, diagonal reduction, elementary transformations, necessary and sufficient conditions
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| DOI |
doi:10.30970/ms.8.2.140-142
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Reference |
1. Zabavsky B.V. Ring with elementary reduction matrix Ring Theory Conference, Miskols, Hungary, July 15–20, 1996. P.14
2. Bougaut B. Anneax Quasi-Euclidiens Thèse de docteur de troisieme cycle. 1976. P.67. 3. Kaplansky I. Elementary divisors and modules Trans. Amer. Math. Soc. 1966 (1949). P.464–491. 4. Gillman L., Henriksen M. Some remarks about elementary divisor Trans. Amer. Math. Soc. 82. 1956. P.362–365. 5. Забавский Б.В., Комарницкий М.Я. Дистрибутивные области с элементарными делителями Укр. мат. журнал. 42, №7, 1990. С.1000–1004. |
| Pages |
140-142
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| Volume |
8
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| Issue |
2
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| Year |
1997
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| Journal |
Matematychni Studii
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