Quasi-abelian and quasi-solvable regular semigroups
| Autor: | Brunetto Piochi |
|---|---|
| Jazyk: | English<br />French<br />Italian |
| Rok vydání: | 1996 |
| Předmět: | |
| Zdroj: | Le Matematiche, Vol 51, Iss 3, Pp 167-182 (1996) |
| Druh dokumentu: | article |
| ISSN: | 0373-3505 2037-5298 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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