Factorization of matrices over elementary divisor domain

dc.contributor.author	Shchedryk, V.
dc.date.accessioned	2019-06-15T16:33:32Z
dc.date.available	2019-06-15T16:33:32Z
dc.date.issued	2009
dc.identifier.citation	Factorization of matrices over elementary divisor domain / V. Shchedryk // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 2. — С. 79–98. — Бібліогр.: 22 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification:15A21.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/154567
dc.description.abstract	We propose constructive criteria of divisibility and associativity of matrices over commutative elementary divisor ring without zero divisors. On this base, the explicit form for all non-associated divisors which have prescribed canonical diagonal forms (c.d.f.) is indicated. A relation between c.d.f. for matrix and c.d.f. for its divisors is established. The uniqueness theorem is proved.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Factorization of matrices over elementary divisor domain	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA