On ordered semigroups which are semilattices of left simple semigroups (Q2843881)
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scientific article; zbMATH DE number 6201652
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On ordered semigroups which are semilattices of left simple semigroups |
scientific article; zbMATH DE number 6201652 |
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On ordered semigroups which are semilattices of left simple semigroups (English)
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26 August 2013
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semigroup
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ordered semigroup
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ideal
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semilattice
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It is known that a semigroup \(S\) is a semilattice of left simple semigroups, i.e., it is decomposable into left simple semigroups if and only if \(S\) is left regular and every left ideal of \(S\) is two-sided. Moreover, this type of semigroups are the semigroups in which the set of left ideals is a semilattice under multiplication of subsets. In this paper, the authors deal with the possibility to extend such problems (and some analogous) results to the case of ordered semigroups.
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