Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, Number 3, Pages 23–33 (Mi basm454)  
Factorizations in the rings of the block matrices

Vasyl' Petrychkovych, Nataliia Dzhaliuk

Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the NAS of Ukraine, Department of Algebra, 3b Naukova Str., 79060, L'viv, Ukraine
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Abstract: The factorizations in the rings of the block triangular and the block diagonal matrices over an integral domain of finitely generated principal ideals are described. Conditions for existence and uniqueness up to the association of the factorizations in such rings are established. The construction of the factorizations of matrices is reduced to the factorizations of diagonal blocks of the block triangular matrices and the solving of the linear Sylvester matrix equations.
Keywords and phrases: ring of matrices, block matrix, factorization, matrix equation.
Received: 10.01.2017
Document Type: Article
MSC: 15A21, 15A24
Language: English
Citation: Vasyl' Petrychkovych, Nataliia Dzhaliuk, “Factorizations in the rings of the block matrices”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, no. 3, 23–33
Citation in format AMSBIB
\Bibitem{PetDzh17}
\by Vasyl'~Petrychkovych, Nataliia~Dzhaliuk
\paper Factorizations in the rings of the block matrices
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2017
\issue 3
\pages 23--33
\mathnet{http://mi.mathnet.ru/basm454}
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