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

• Datum: 2021
• Hauptverfasser: Shchedryk, V. P., Щедрик, В. П.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2021
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/6321
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.