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Some properties of primitive matrices over Bezout B-domain
The properties of primitive matrices (matrices for which the greatest common divisor of the minors of maximal order is equal to 1) over Bezout B - domain, i.e. commutative domain finitely generated principal ideal in which for all a,b,c with (a,b,c) = 1,c 6= 0, there exists element r ∈ R, such t...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2005
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/156626 |
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| Summary: | The properties of primitive matrices (matrices
for which the greatest common divisor of the minors of maximal
order is equal to 1) over Bezout B - domain, i.e. commutative
domain finitely generated principal ideal in which for all a,b,c with
(a,b,c) = 1,c 6= 0, there exists element r ∈ R, such that (a+rb,c) =
1 is investigated. The results obtained enable to describe invariants
transforming matrices, i.e. matrices which reduce the given matrix
to its canonical diagonal form. |
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