Publication
On a problem of M. Kambites regarding abundant semigroups
| dc.contributor.author | Araújo, João | |
| dc.contributor.author | Kinyon, Michael | |
| dc.date.accessioned | 2015-03-25T09:42:50Z | |
| dc.date.available | 2015-03-25T09:42:50Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | A semigroup is regular if it contains at least one idempotent in each -class and in each L-class. A regular semigroup is inverse if it satisfies either of the following equivalent conditions: (i) there is a unique idempotent in each -class and in each L-class, or (ii) the idempotents commute. Analogously, a semigroup is abundant if it contains at least one idempotent in each *-class and in each L*-class. An abundant semigroup is adequate if its idempotents commute. In adequate semigroups, there is a unique idempotent in each * and L*-class. M. Kambites raised the question of the converse: in a finite abundant semigroup such that there is a unique idempotent in each * and L*-class, must the idempotents commute? In this note, we provide a negative answer to this question. | por |
| dc.identifier.citation | Araújo, João; Kinyon, Michael - On a problem of M. Kambites regarding abundant semigroups. "Communications in Algebra" [Em linha]. ISSN 0092-7872 (Print) 1532-4125 (Online). Vol. 40, nº 12 (2012), p. 1-8 | por |
| dc.identifier.doi | 10.1080/00927872.2011.610072 | |
| dc.identifier.issn | 0092-7872 | |
| dc.identifier.issn | 1532-4125 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/3817 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | http://www.tandfonline.com/doi/full/10.1080/00927872.2011.610072#.VRKIAk9ya1s | |
| dc.subject | Abundant semigroups | por |
| dc.subject | Adequate semigroups | por |
| dc.subject | Amiable semigroups | por |
| dc.subject | 20M10 | por |
| dc.subject | 20M07 | por |
| dc.subject | 20M20 | por |
| dc.title | On a problem of M. Kambites regarding abundant semigroups | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 8 | por |
| oaire.citation.startPage | 1 | por |
| oaire.citation.title | Communications in Algebra | por |
| person.familyName | Ribeiro Soares Gonçalves de Araújo | |
| person.familyName | Kinyon | |
| person.givenName | João Jorge | |
| person.givenName | Michael Kinyon | |
| person.identifier.ciencia-id | EC1F-273A-9F24 | |
| person.identifier.ciencia-id | 2A10-E0DD-5A23 | |
| person.identifier.orcid | 0000-0001-6655-2172 | |
| person.identifier.orcid | 0000-0002-5227-8632 | |
| rcaap.rights | openAccess | por |
| rcaap.type | article | por |
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