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A greatest common divisor and a least common multiple of solutions of a linear matrix equation

General Mathematics 2020-11-11 v1

Abstract

We describe the explicit form of a left greatest common divisor and a least common multiple of solutions of a solvable linear matrix equation over a commutative elementary divisor domain. We prove that these left greatest common divisor and least common multiple are also solutions of the same equation.

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Cite

@article{arxiv.2011.05173,
  title  = {A greatest common divisor and a least common multiple of solutions of a linear matrix equation},
  author = {Volodymyr P. Shchedryk},
  journal= {arXiv preprint arXiv:2011.05173},
  year   = {2020}
}

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9 pages