Half-automorphism group of a class of Bol loops

Detalhes bibliográficos
Autor(a) principal: Souza de Barros, Dylene Agda
Data de Publicação: 2023
Outros Autores: Souza dos Anjos, Giliard [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1080/00927872.2022.2133133
http://hdl.handle.net/11449/247800
Resumo: A Bol loop is a loop that satisfies the Bol identity (Formula presented.). If L is a loop and (Formula presented.) is a bijection such that (Formula presented.), for every x, (Formula presented.), then f is called a half-automorphism of L. In this paper, we describe the half-automorphism group of a class of Bol loops of order 4m.
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spelling Half-automorphism group of a class of Bol loopsBol loopshalf-automorphism grouphalf-automorphismsA Bol loop is a loop that satisfies the Bol identity (Formula presented.). If L is a loop and (Formula presented.) is a bijection such that (Formula presented.), for every x, (Formula presented.), then f is called a half-automorphism of L. In this paper, we describe the half-automorphism group of a class of Bol loops of order 4m.Faculdade de Matemática Universidade Federal de Uberlândia, MGDepartamento de Matemática Universidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas, SPDepartamento de Matemática Universidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas, SPUniversidade Federal de Uberlândia (UFU)Universidade Estadual Paulista (UNESP)Souza de Barros, Dylene AgdaSouza dos Anjos, Giliard [UNESP]2023-07-29T13:26:13Z2023-07-29T13:26:13Z2023-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1229-1241http://dx.doi.org/10.1080/00927872.2022.2133133Communications in Algebra, v. 51, n. 3, p. 1229-1241, 2023.1532-41250092-7872http://hdl.handle.net/11449/24780010.1080/00927872.2022.21331332-s2.0-85140710904Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengCommunications in Algebrainfo:eu-repo/semantics/openAccess2023-07-29T13:26:14Zoai:repositorio.unesp.br:11449/247800Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:58:13.083942Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Half-automorphism group of a class of Bol loops
title Half-automorphism group of a class of Bol loops
spellingShingle Half-automorphism group of a class of Bol loops
Souza de Barros, Dylene Agda
Bol loops
half-automorphism group
half-automorphisms
title_short Half-automorphism group of a class of Bol loops
title_full Half-automorphism group of a class of Bol loops
title_fullStr Half-automorphism group of a class of Bol loops
title_full_unstemmed Half-automorphism group of a class of Bol loops
title_sort Half-automorphism group of a class of Bol loops
author Souza de Barros, Dylene Agda
author_facet Souza de Barros, Dylene Agda
Souza dos Anjos, Giliard [UNESP]
author_role author
author2 Souza dos Anjos, Giliard [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Federal de Uberlândia (UFU)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Souza de Barros, Dylene Agda
Souza dos Anjos, Giliard [UNESP]
dc.subject.por.fl_str_mv Bol loops
half-automorphism group
half-automorphisms
topic Bol loops
half-automorphism group
half-automorphisms
description A Bol loop is a loop that satisfies the Bol identity (Formula presented.). If L is a loop and (Formula presented.) is a bijection such that (Formula presented.), for every x, (Formula presented.), then f is called a half-automorphism of L. In this paper, we describe the half-automorphism group of a class of Bol loops of order 4m.
publishDate 2023
dc.date.none.fl_str_mv 2023-07-29T13:26:13Z
2023-07-29T13:26:13Z
2023-01-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1080/00927872.2022.2133133
Communications in Algebra, v. 51, n. 3, p. 1229-1241, 2023.
1532-4125
0092-7872
http://hdl.handle.net/11449/247800
10.1080/00927872.2022.2133133
2-s2.0-85140710904
url http://dx.doi.org/10.1080/00927872.2022.2133133
http://hdl.handle.net/11449/247800
identifier_str_mv Communications in Algebra, v. 51, n. 3, p. 1229-1241, 2023.
1532-4125
0092-7872
10.1080/00927872.2022.2133133
2-s2.0-85140710904
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Communications in Algebra
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1229-1241
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129005005570048

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