Digital Repository of Luhansk Taras Shevchenko National University
Generalized equivalence of collections of matrices and common divisors of matrices
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| dc.contributor.author | Petrychkovych, Vasyl‘ M. | |
| dc.date.accessioned | 2015-10-29T08:53:10Z | |
| dc.date.available | 2015-10-29T08:53:10Z | |
| dc.date.issued | 2004 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/110 | |
| 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 | Луганский национальный университет им. Т. Шевченко | uk_UA |
| dc.title | Generalized equivalence of collections of matrices and common divisors of matrices | uk_UA |
| dc.type | Article | uk_UA |
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IV International Algebraic Conference in Ukraine. In this volume we complete to publish papers presented at the IV International Algebraic Conference in Ukraine, which took place in Lviv (Lemborg) on August 4--9, 2003.