Publication
Pointlike reducibility of pseudovarieties of the form V ∗D
| dc.contributor.author | Costa, José Carlos | |
| dc.contributor.author | Nogueira, Conceição | |
| dc.contributor.author | Teixeira, Maria Lurdes | |
| dc.date.accessioned | 2025-07-16T15:01:03Z | |
| dc.date.available | 2025-07-16T15:01:03Z | |
| dc.date.issued | 2016-03 | |
| dc.description.abstract | In this paper, we investigate the reducibility property of semidirect products of the form [Formula: see text] relatively to (pointlike) systems of equations of the form [Formula: see text], where [Formula: see text] d̃enotes the pseudovariety of definite semigroups. We establish a connection between pointlike reducibility of [Formula: see text] and the pointlike reducibility of the pseudovariety [Formula: see text]. In particular, for the canonical signature [Formula: see text] consisting of the multiplication and the [Formula: see text]-power, we show that [Formula: see text] is pointlike [Formula: see text]-reducible when [Formula: see text] is pointlike [Formula: see text]-reducible. | eng |
| dc.description.sponsorship | This work was supported by the European Regional Development Fund, through the programme COMPETE, and by the Portuguese Government through FCT – Fundação para a Ciência e a Tecnologia, under the project PEst-C/MAT/UI0013/2014. | |
| dc.identifier.doi | 10.1142/s0218196716500090 | |
| dc.identifier.issn | 0218-1967 | |
| dc.identifier.issn | 1793-6500 | |
| dc.identifier.uri | http://hdl.handle.net/10400.8/13674 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | World Scientific Pub Co Pte Lt | |
| dc.relation.hasversion | https://www.worldscientific.com/doi/10.1142/S0218196716500090?srsltid=AfmBOooMzLX3IJlud9xyQjJamY0S1lT671Z4a5TC_NYGvy9Qxr7niFbx | |
| dc.relation.ispartof | International Journal of Algebra and Computation | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | |
| dc.subject | Semigroup | |
| dc.subject | Pseudovariety | |
| dc.subject | Semidirect product | |
| dc.subject | Implicit signature | |
| dc.subject | Pointlike | |
| dc.subject | Equations | |
| dc.subject | Reducibility | |
| dc.title | Pointlike reducibility of pseudovarieties of the form V ∗D | eng |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 216 | |
| oaire.citation.issue | 02 | |
| oaire.citation.startPage | 203 | |
| oaire.citation.title | International Journal of Algebra and Computation | |
| oaire.citation.volume | 26 | |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
| person.familyName | Nogueira | |
| person.givenName | Conceição | |
| person.identifier.ciencia-id | 9C14-CD1D-1298 | |
| person.identifier.orcid | 0000-0002-9269-2221 | |
| person.identifier.scopus-author-id | 24339135500 | |
| relation.isAuthorOfPublication | b44ae8f7-d99a-4098-ae0b-bbf22db8f2a0 | |
| relation.isAuthorOfPublication.latestForDiscovery | b44ae8f7-d99a-4098-ae0b-bbf22db8f2a0 |