Factorizations in the matrix ring and in its subrings of the block matrices
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2020-06-12 18:04
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PETRYCHKOVYCH, Vasil, DZHALIUK, Nataliia. Factorizations in the matrix ring and in its subrings of the block matrices. In: Conference of Mathematical Society of the Republic of Moldova, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, 4, pp. 143-146. ISBN 978-9975-71-915-5.
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Conference of Mathematical Society of the Republic of Moldova
4, 2017
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chişinău, Moldova, 28 iunie - 2 iulie 2017

Factorizations in the matrix ring and in its subrings of the block matrices

Pag. 143-146

Petrychkovych Vasil, Dzhaliuk Nataliia
 
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the NAS of Ukraine
 
 
Disponibil în IBN: 4 octombrie 2017


Rezumat

The factorizations in the ring of the matrices over an integral domain of finitely generated principal ideals are described. We establish the conditions under which the factorizations of the block matrices in the matrix ring up to the association are the factorizations in its subrings of the block triangular and the block diagonal matrices.

Cuvinte-cheie
matrix ring, block matrix,

factorization