Commutative domains of elementary divisors and some properties of their elements (Q1933319)
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scientific article; zbMATH DE number 6128294
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Commutative domains of elementary divisors and some properties of their elements |
scientific article; zbMATH DE number 6128294 |
Statements
Commutative domains of elementary divisors and some properties of their elements (English)
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23 January 2013
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The author studies commutative domains of elementary divisors from the viewpoint of investigation of the structure of invertible matrices that reduce a given matrix to the diagonal form. Some properties of elements of these domains are indicated. He establishes conditions, close to the stable-range conditions, under which a commutative Bézout domain is a domain of elementary divisors.
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domain
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elementary divisor
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invertible matrix
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Bézout domain
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