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Arithmetic and k-maximality of the cyclic free magma

dc.contributor.authorCardó Olmo, Carles
dc.date.accessioned2026-06-04T18:04:35Z
dc.date.issued2019
dc.identifier.citationCardó 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/s00012-019-0608-2ca
dc.identifier.issn0002-5240ca
dc.identifier.urihttps://hdl.handle.net/20.500.12328/5370
dc.descriptionThis research was supported the recognition 2017SGR-856 (MACDA) from AGAUR (Generalitat de Catalunya).ca
dc.description.abstractWe 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.extent26ca
dc.language.isoengca
dc.publisherSpringerca
dc.relation.ispartofAlgebra universalisca
dc.relation.ispartofseries80;35
dc.rightsCopyright © 2019, Springer Nature Switzerland AGca
dc.subject.otherFree magmaca
dc.subject.otherArithmeticca
dc.subject.otherLatticeca
dc.subject.otherMaximalityca
dc.subject.otherMagma libreca
dc.subject.otherAritméticaca
dc.subject.otherRetículaca
dc.subject.otherMaximalidadca
dc.subject.otherMagma lliureca
dc.subject.otherÀlgebraca
dc.subject.otherLlaçca
dc.subject.otherMàximitatca
dc.titleArithmetic and k-maximality of the cyclic free magmaca
dc.typeinfo:eu-repo/semantics/articleca
dc.description.versioninfo:eu-repo/semantics/publishedVersionca
dc.rights.accessLevelinfo:eu-repo/semantics/embargoedAccess
dc.embargo.termsforeverca
dc.subject.udc512ca
dc.identifier.doihttps://doi.org/10.1007/s00012-019-0608-2ca
dc.date.embargoEnd9999-01-01


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