Congruences on the monoid of monotone injective partial selfmaps of \(L_n\times_{\text{lex}}\mathbb Z\) with co-finite domains and images. (Q2808433)
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scientific article; zbMATH DE number 6584018
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Congruences on the monoid of monotone injective partial selfmaps of \(L_n\times_{\text{lex}}\mathbb Z\) with co-finite domains and images. |
scientific article; zbMATH DE number 6584018 |
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23 May 2016
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congruences of semigroups
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monoids of partial selfmaps
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lattices of congruences
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Congruences on the monoid of monotone injective partial selfmaps of \(L_n\times_{\text{lex}}\mathbb Z\) with co-finite domains and images. (English)
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The authors study congruences on the semigroup \(\mathcal{JO}_\infty(\mathbb Z^n_{\text{lex}})\) of monotone injective partial selfmaps of the set of \(L_n\times_{\text{lex}}\mathbb Z\) having co-finite domains and images, where \(L_n\times_{\text{lex}}\mathbb Z\) is the lexicographic product of the \(n\)-elements chain and the set of integers with ordinary linear order. The structure of the sublattice of congruences on \(\mathcal{JO}_\infty(\mathbb Z^n_{\text{lex}})\), contained in the least group congruence, is described.
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