The left greatest common divisor and the left least common multiple of all solutions of the matrix equation BX = A over a commutative elementary divisor domain
UDC 512.64 The explicit form of the left greatest common divisor and the left least common multiple of all solutions to the solvable matrix equation $BX=A$ over a commutative domain of elementary divisors is given. It is proved that they are solutions too.
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| Datum: | 2021 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2021
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6321 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 512.64
The explicit form of the left greatest common divisor and the left least common multiple of all solutions to the solvable matrix equation $BX=A$ over a commutative domain of elementary divisors is given. It is proved that they are solutions too. |
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| DOI: | 10.37863/umzh.v73i2.6321 |