Semimodularity of the congruence lattice on regular \(\omega\)-semigroups (Q749680)
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scientific article; zbMATH DE number 4173268
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semimodularity of the congruence lattice on regular \(\omega\)-semigroups |
scientific article; zbMATH DE number 4173268 |
Statements
Semimodularity of the congruence lattice on regular \(\omega\)-semigroups (English)
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1990
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In this paper a characterization of the regular \(\omega\)-semigroups whose congruence lattice is semimodular is given. Notice that the authors use as \textit{H. E. Scheiblich} [Proc. Edinb. Math. Soc., II. Ser. 17, 79-81 (1970; Zbl 0203.318)] the definition of semimodularity that other authors call double covering property. The characterization here obtained generalizes the one given by Scheiblich in the quoted paper.
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regular \(\omega \) -semigroups
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congruence lattice
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semimodularity
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double covering property
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