Factorization of matrices over elementary divisor domain
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....
Saved in:
| Date: | 2018 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/779 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-779 |
|---|---|
| record_format |
ojs |
| spelling |
oai:ojs.admjournal.luguniv.edu.ua:article-7792018-04-04T08:38:30Z Factorization of matrices over elementary divisor domain Shchedryk, Volodymyr elementary divisor ring, canonical diagonal form, factorization of matrices up to associate, divisor of matrices 15A21 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. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/779 Algebra and Discrete Mathematics; Vol 8, No 2 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/779/309 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-04-04T08:38:30Z |
| collection |
OJS |
| language |
English |
| topic |
elementary divisor ring canonical diagonal form factorization of matrices up to associate divisor of matrices 15A21 |
| spellingShingle |
elementary divisor ring canonical diagonal form factorization of matrices up to associate divisor of matrices 15A21 Shchedryk, Volodymyr Factorization of matrices over elementary divisor domain |
| topic_facet |
elementary divisor ring canonical diagonal form factorization of matrices up to associate divisor of matrices 15A21 |
| format |
Article |
| author |
Shchedryk, Volodymyr |
| author_facet |
Shchedryk, Volodymyr |
| author_sort |
Shchedryk, Volodymyr |
| title |
Factorization of matrices over elementary divisor domain |
| title_short |
Factorization of matrices over elementary divisor domain |
| title_full |
Factorization of matrices over elementary divisor domain |
| title_fullStr |
Factorization of matrices over elementary divisor domain |
| title_full_unstemmed |
Factorization of matrices over elementary divisor domain |
| title_sort |
factorization of matrices over elementary divisor domain |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/779 |
| work_keys_str_mv |
AT shchedrykvolodymyr factorizationofmatricesoverelementarydivisordomain |
| first_indexed |
2025-07-17T10:30:32Z |
| last_indexed |
2025-07-17T10:30:32Z |
| _version_ |
1837889830615252992 |