Generalized equivalence of collections of matrices and common divisors of matrices

dc.contributor.author	Petrychkovych, V.M.
dc.date.accessioned	2019-06-18T13:30:25Z
dc.date.available	2019-06-18T13:30:25Z
dc.date.issued	2004
dc.identifier.citation	Generalized equivalence of collections of matrices and common divisors of matrices / V.M. Petrychkovych // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 84–91. — Бібліогр.: 14 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification: 15A33, 15A21, 15A23.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/156417
dc.description.abstract	The collections (A1, ..., Ak) and (B1, ..., Bk) of matrices over an adequate ring are called generalized equivalent if Ai = UBiVi for some invertible matrices U and Vi , i = 1, ..., k. Some conditions are established under which the finite collection consisting of the matrix and its the divisors is generalized equivalent to the collection of the matrices of the triangular and diagonal forms. By using these forms the common divisors of matrices is described.	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	Generalized equivalence of collections of matrices and common divisors of matrices	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA