Semigroup identities of tropical matrix semigroups of maximal rank (Q309970)
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scientific article; zbMATH DE number 6624705
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semigroup identities of tropical matrix semigroups of maximal rank |
scientific article; zbMATH DE number 6624705 |
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Semigroup identities of tropical matrix semigroups of maximal rank (English)
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7 September 2016
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It is shown that any semigroup of \(n\times n\) tropical matrices whose elements all have rank \(n\) (i.e. a nonsingular semigroup) satisfies a class of nontrivial semigroup identities. These identities generalize the identities satisfied by the monoid of all \(n\times n\) triangular tropical matrices.
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tropical (max-plus) matrix algebra
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semigroup identities
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semigroup varieties
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semigroup representations
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nonsingular matrices
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rank-maximal semigroups
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0.9355254
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0.93428195
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0.9279171
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0.92649007
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0.91426903
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0.90653396
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