| dc.contributor.author | Cardó Olmo, Carles | |
| dc.date.accessioned | 2026-06-04T18:04:35Z | |
| dc.date.issued | 2019 | |
| dc.identifier.citation | Cardó Olmo, Carles. Arithmetic and k-maximality of the cyclic free magma. Algebra universalis, 2019, 80(35). Disponible en <https://doi.org/10.48550/arXiv.2407.17692>. Fecha de acceso: 4 jun. 2026. DOI: 10.1007/s00012-019-0608-2 | ca |
| dc.identifier.issn | 0002-5240 | ca |
| dc.identifier.uri | https://hdl.handle.net/20.500.12328/5370 | |
| dc.description | This research was supported the recognition 2017SGR-856 (MACDA) from AGAUR (Generalitat de Catalunya). | ca |
| dc.description.abstract | We survey free magmas and we explore the structure of their
submagmas. By equipping the cyclic free magma with a second distributive operation we obtain a ringoid-like structure with some primitive arithmetical properties. A submagma is k-maximal when there are
only k − 1 submagmas between it and the free magma itself. These two
tools, arithmetic and maximality, allow us to study the lattice of the
submagmas of a free magma. | ca |
| dc.format.extent | 26 | ca |
| dc.language.iso | eng | ca |
| dc.publisher | Springer | ca |
| dc.relation.ispartof | Algebra universalis | ca |
| dc.relation.ispartofseries | 80;35 | |
| dc.rights | Copyright © 2019, Springer Nature Switzerland AG | ca |
| dc.subject.other | Free magma | ca |
| dc.subject.other | Arithmetic | ca |
| dc.subject.other | Lattice | ca |
| dc.subject.other | Maximality | ca |
| dc.subject.other | Magma libre | ca |
| dc.subject.other | Aritmética | ca |
| dc.subject.other | Retícula | ca |
| dc.subject.other | Maximalidad | ca |
| dc.subject.other | Magma lliure | ca |
| dc.subject.other | Àlgebra | ca |
| dc.subject.other | Llaç | ca |
| dc.subject.other | Màximitat | ca |
| dc.title | Arithmetic and k-maximality of the cyclic free magma | ca |
| dc.type | info:eu-repo/semantics/article | ca |
| dc.description.version | info:eu-repo/semantics/publishedVersion | ca |
| dc.rights.accessLevel | info:eu-repo/semantics/embargoedAccess | |
| dc.embargo.terms | forever | ca |
| dc.subject.udc | 512 | ca |
| dc.identifier.doi | https://doi.org/10.1007/s00012-019-0608-2 | ca |
| dc.date.embargoEnd | 9999-01-01 | |
