Generalized equivalence of collections of matrices and common divisors of matrices
The collections \((A_{1}, ..., A_{k})\) and \((B_{1}, ..., B_{k})\) of matrices over an adequate ring are called generalized equivalent if \(A_i=UB_iV_i\) for some invertible matrices \(U\) and \(V_{i}, \; i=1, ..., k.\) Some conditions are established under which the finite collection consisting...
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Date: | 2018 |
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Main Author: | Petrychkovych, Vasyl M. |
Format: | Article |
Language: | English |
Published: |
Lugansk National Taras Shevchenko University
2018
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Subjects: | |
Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/992 |
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Journal Title: | Algebra and Discrete Mathematics |
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