Publication
Internal monoids and groups in the category of commutative cancellative medial magmas
| dc.contributor.author | Pereira Fatelo, Jorge | |
| dc.contributor.author | Martins-Ferreira, Nelson | |
| dc.date.accessioned | 2025-06-16T15:18:53Z | |
| dc.date.available | 2025-06-16T15:18:53Z | |
| dc.date.issued | 2016-09-12 | |
| dc.description.abstract | This article considers the category of commutative medial magmas with cancellation, a structure that generalizes midpoint algebras and commutative semigroups with cancellation. In this category each object admits at most one internal monoid structure for any given unit. Conditions for the existence of internal monoids and internal groups, as well as conditions under which an internal reflexive relation is a congruence, are studied. | eng |
| dc.description.sponsorship | This research work was supported by the Portuguese Foundation for Science and Technology (FCT) through the Project references UID/Multi/04044/2013, PTDC/EME-CRO/120585/2010, PTDC/MAT/120222/2010 and also by the grant number SFRH/BPD/4321/2008 at CMUC. It was also supported by IPLeiria/ESTG-CDRSP. | |
| dc.identifier.citation | Jorge Pereira Fatelo, Nelson Martins-Ferreira, Internal monoids and groups in the category of commutative cancellative medial magmas. Port. Math. 73 (2016), no. 3, pp. 219–245 DOI 10.4171/PM/1986 | |
| dc.identifier.doi | 10.4171/pm/1986 | |
| dc.identifier.issn | 0032-5155 | |
| dc.identifier.issn | 1662-2758 | |
| dc.identifier.uri | http://hdl.handle.net/10400.8/13266 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | European Mathematical Society - EMS - Publishing House GmbH | |
| dc.relation.hasversion | https://ems.press/journals/pm/articles/14021 | |
| dc.relation.ispartof | Portugaliae Mathematica | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Midpoint algebra | |
| dc.subject | Commutative monoid | |
| dc.subject | Abelian group | |
| dc.subject | Cancellation law | |
| dc.subject | Medial law | |
| dc.subject | Quasigroup | |
| dc.subject | Internal monoid | |
| dc.subject | Internal group | |
| dc.subject | Internal relation | |
| dc.subject | Weakly Mal’tsev category | |
| dc.title | Internal monoids and groups in the category of commutative cancellative medial magmas | eng |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 245 | |
| oaire.citation.issue | 3 | |
| oaire.citation.startPage | 219 | |
| oaire.citation.title | Portugaliae Mathematica | |
| oaire.citation.volume | 73 | |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
| person.familyName | Pereira Fatelo | |
| person.familyName | Martins-Ferreira | |
| person.givenName | Jorge | |
| person.givenName | Nelson | |
| person.identifier | 485301 | |
| person.identifier.ciencia-id | B115-B65E-24AA | |
| person.identifier.orcid | 0000-0001-7510-5534 | |
| person.identifier.orcid | 0000-0002-4199-7367 | |
| person.identifier.rid | N-1699-2013 | |
| person.identifier.scopus-author-id | 24598020700 | |
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