On greatest common divisors and least common multiple of linear matrix equation solutions.
Ключові слова:
Commutative elementary divisor domain, matrix linear equation, greatest common left divisor, least common left multipleАнотація
Investigation of linear equation solutions has a profound history. Due to applied and theoretical problems we need to find roots with certain predefined properties. Matrix equations were studied with a symmetry condition, with Hermitian positively defined condition, with minimal rank condition on the solutions.
Посилання
I. Kaplansky Elementary divisor and modules, Trans. Amer. Math. Soc. – 1949. – 66. – P. 464–491.
