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http://hdl.handle.net/10662/16373
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Campo DC | Valor | idioma |
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dc.contributor.author | George, O.O. | - |
dc.contributor.author | Olaleru, J.O. | - |
dc.contributor.author | Adéníran, J.O. | - |
dc.contributor.author | Jaiyéolá, T.G | - |
dc.date.accessioned | 2022-12-12T09:59:50Z | - |
dc.date.available | 2022-12-12T09:59:50Z | - |
dc.date.issued | 2022 | - |
dc.identifier.issn | 0213-8743 | - |
dc.identifier.uri | http://hdl.handle.net/10662/16373 | - |
dc.description.abstract | Let LWPC denote the identity (xy · x) · xz = x((yx · x)z), and RWPC the mirror identity. Phillips proved that a loop satisfies LWPC and RWPC if and only if it is a WIP PACC loop. Here, it is proved that a loop Q fulfils LWPC if and only if it is a left conjugacy closed (LCC) loop that fulfils the identity (xy · x)x = x(yx · x). Similarly, RWPC is equivalent to RCC and x(x · yx) = (x · xy)x. If a loop satisfies LWPC or RWPC, then it is power associative (PA). The smallest nonassociative LWPC-loop was found to be unique and of order 6 while there are exactly 6 nonassociative LWPC-loops of order 8 up to isomorphism. Methods of construction of nonassociative LWPC-loops were developed. | es_ES |
dc.format.extent | 10 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura, Servicio de Publicaciones | es_ES |
dc.rights | Attribution-NonCommercial 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | * |
dc.subject | Lazo cerrado de conjugación izquierda (derecha) | es_ES |
dc.subject | Asociatividad de potencia | es_ES |
dc.subject | Lazo LWPC | es_ES |
dc.subject | Lazo RWPC | es_ES |
dc.subject | Left (right) conjugacy closed loop, | es_ES |
dc.subject | Power associativity | es_ES |
dc.subject | LWPC-loop | es_ES |
dc.subject | RWPC-loop | es_ES |
dc.title | On a class of power associative LCC-loops | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1201.06 Grupos, Generalidades | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | George, O., Olaleru, J., Adénı́ranJ., & JaiyéoláT. (2022). On a class of power associative LCC-loops. Extracta Mathematicae, 37(2), 185-194. E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | University of Lagos. Nigeria | es_ES |
dc.contributor.affiliation | Obafemi Awolowo University. Nigeria | - |
dc.relation.publisherversion | https://doi.org/10.17398/2605-5686.37.2.185 | es_ES |
dc.identifier.doi | 10.17398/2605-5686.37.2.185 | - |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 2 | es_ES |
dc.identifier.publicationfirstpage | 185 | es_ES |
dc.identifier.publicationlastpage | 194 | es_ES |
dc.identifier.publicationvolume | 37 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 37, nº 2 (2022) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_37_2_185.pdf | 309,31 kB | Adobe PDF | Descargar |
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