Quasi-abelian and quasi-solvable regular semigroups
In this note quasi-abelian semigroups are studied and it is proved that they form an e-variety of orthodox semigroups. More, quasi-abelian regular Bruck-Reilly monoids are characterized as extensions of monoids which are (reverse) semidirect products of a group and a semilattice. At last, quasi-abel...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
1996-12-01
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| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/468 |
| Summary: | In this note quasi-abelian semigroups are studied and it is proved that they form an e-variety of orthodox semigroups. More, quasi-abelian regular Bruck-Reilly monoids are characterized as extensions of monoids which are (reverse) semidirect products of a group and a semilattice. At last, quasi-abelian congruences are studied and a definition of quasi-solvability is given which generalizes the notion of solvability to the class of regular semigroups. |
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| ISSN: | 0373-3505 2037-5298 |