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....
Gespeichert in:
Datum: | 2009 |
---|---|
1. Verfasser: | Shchedryk, V. |
Format: | Artikel |
Sprache: | English |
Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2009
|
Schriftenreihe: | Algebra and Discrete Mathematics |
Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/154567 |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Zitieren: | Factorization of matrices over elementary divisor domain / V. Shchedryk // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 2. — С. 79–98. — Бібліогр.: 22 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineÄhnliche Einträge
-
Factorization of matrices over elementary divisor domain
von: Shchedryk, Volodymyr
Veröffentlicht: (2018) -
Principal flat ideals in the ring of matrices over commutative elementary divisors domain
von: H. V. Zelisko
Veröffentlicht: (2012) -
The greatest common divisors and least common multiples of matrices over commutative Bezout domains
von: V. P. Shchedryk
Veröffentlicht: (2014) -
The left greatest common divisor and the left least common multiple of all solutions of the matrix equation BX = A over a commutative elementary divisor domain
von: V. P. Shchedryk
Veröffentlicht: (2021) -
Stable rank of the set of full matrices over the ring of elementary divisors
von: B. V. Zabavskyi, et al.
Veröffentlicht: (2014)