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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Bibliographic Details
Date:2021
Main Authors: Shchedryk, V. P., Щедрик, В. П.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2021
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6321
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal