Mobi algebra as an abstraction to the unit interval and its comparison to rings
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Data de Publicação: | 2019 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.8/3838 |
Resumo: | This work is supported by Fundação para a Ciência e a Tecnologia (FCT) and Centro2020 through the Project references: UID/Multi/04044/2013 and PAMI – ROTEIRO/0328/2013 (No 022158) and also by CDRSP and ESTG from the Polytechnic Institute of Leiria. |
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Mobi algebra as an abstraction to the unit interval and its comparison to ringsgeodesic pathternary operationunit intervalunitary ringsmidpoint algebrasinvolutive medial monoidMobi algebraThis work is supported by Fundação para a Ciência e a Tecnologia (FCT) and Centro2020 through the Project references: UID/Multi/04044/2013 and PAMI – ROTEIRO/0328/2013 (No 022158) and also by CDRSP and ESTG from the Polytechnic Institute of Leiria.We introduce a new algebraic structure, called mobi algebra, consisting of three constants and one ternary operation. The canonical example of a mobi algebra is the unit interval with the three constants 0, 1, and 1/2 and the ternary operation given by the formula x−yx+yz. We study some of its properties and prove that every unitary ring with one half uniquely determines and is uniquely determined by a mobi algebra with one double. Another algebraic structure, called involutive medial monoid (IMM), is considered to establish the passage between rings and mobi algebras.Taylor & FrancisIC-OnlineFatelo, J. P.Martins-Ferreira, Nelson2019-02-19T15:07:56Z2019-01-202019-01-20T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.8/3838eng1532-4125https://doi.org/10.1080/00927872.2018.1501575info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-17T15:48:01Zoai:iconline.ipleiria.pt:10400.8/3838Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:47:51.165722Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Mobi algebra as an abstraction to the unit interval and its comparison to rings |
title |
Mobi algebra as an abstraction to the unit interval and its comparison to rings |
spellingShingle |
Mobi algebra as an abstraction to the unit interval and its comparison to rings Fatelo, J. P. geodesic path ternary operation unit interval unitary rings midpoint algebras involutive medial monoid Mobi algebra |
title_short |
Mobi algebra as an abstraction to the unit interval and its comparison to rings |
title_full |
Mobi algebra as an abstraction to the unit interval and its comparison to rings |
title_fullStr |
Mobi algebra as an abstraction to the unit interval and its comparison to rings |
title_full_unstemmed |
Mobi algebra as an abstraction to the unit interval and its comparison to rings |
title_sort |
Mobi algebra as an abstraction to the unit interval and its comparison to rings |
author |
Fatelo, J. P. |
author_facet |
Fatelo, J. P. Martins-Ferreira, Nelson |
author_role |
author |
author2 |
Martins-Ferreira, Nelson |
author2_role |
author |
dc.contributor.none.fl_str_mv |
IC-Online |
dc.contributor.author.fl_str_mv |
Fatelo, J. P. Martins-Ferreira, Nelson |
dc.subject.por.fl_str_mv |
geodesic path ternary operation unit interval unitary rings midpoint algebras involutive medial monoid Mobi algebra |
topic |
geodesic path ternary operation unit interval unitary rings midpoint algebras involutive medial monoid Mobi algebra |
description |
This work is supported by Fundação para a Ciência e a Tecnologia (FCT) and Centro2020 through the Project references: UID/Multi/04044/2013 and PAMI – ROTEIRO/0328/2013 (No 022158) and also by CDRSP and ESTG from the Polytechnic Institute of Leiria. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-02-19T15:07:56Z 2019-01-20 2019-01-20T00:00:00Z |
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://hdl.handle.net/10400.8/3838 |
url |
http://hdl.handle.net/10400.8/3838 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1532-4125 https://doi.org/10.1080/00927872.2018.1501575 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Taylor & Francis |
publisher.none.fl_str_mv |
Taylor & Francis |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799136972165349376 |