Degree of matrix relation algebras. (Q1771951)
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scientific article; zbMATH DE number 2158811
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Degree of matrix relation algebras. |
scientific article; zbMATH DE number 2158811 |
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Degree of matrix relation algebras. (English)
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19 April 2005
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The concept of a basis of degree at least \(N\) for a matrix relation algebra was introduced by R. D. Maddux in 1983. The authors use it to define a relation algebra of degree at least \(N\). It is shown that a relation algebra and its \(n\)-matrix relation algebra have the same degree. An intermediate result relates the degree of a relation algebra to the degree of a relativization with respect to equivalence elements.
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degree
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matrix relation algebra
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relativization
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semi-associative relation algebra
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