Publicação
Mobi algebra as an abstraction to the unit interval and its comparison to rings
| dc.contributor.author | Fatelo, J. P. | |
| dc.contributor.author | Martins-Ferreira, Nelson | |
| dc.date.accessioned | 2019-02-19T15:07:56Z | |
| dc.date.available | 2019-02-19T15:07:56Z | |
| dc.date.issued | 2019-01-20 | |
| dc.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. | |
| dc.description.abstract | 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. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | https://doi.org/10.1080/00927872.2018.1501575 | pt_PT |
| dc.identifier.issn | 1532-4125 | |
| dc.identifier.uri | http://hdl.handle.net/10400.8/3838 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Taylor & Francis | pt_PT |
| dc.relation | Centre for Rapid and Sustainable Product Development | |
| dc.subject | geodesic path | pt_PT |
| dc.subject | ternary operation | pt_PT |
| dc.subject | unit interval | pt_PT |
| dc.subject | unitary rings | pt_PT |
| dc.subject | midpoint algebras | pt_PT |
| dc.subject | involutive medial monoid | pt_PT |
| dc.subject | Mobi algebra | pt_PT |
| dc.title | Mobi algebra as an abstraction to the unit interval and its comparison to rings | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Centre for Rapid and Sustainable Product Development | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMulti%2F04044%2F2013/PT | |
| oaire.citation.title | Communications in algebra | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| person.familyName | Martins-Ferreira | |
| person.givenName | Nelson | |
| person.identifier | 485301 | |
| person.identifier.ciencia-id | B115-B65E-24AA | |
| person.identifier.orcid | 0000-0002-4199-7367 | |
| person.identifier.rid | N-1699-2013 | |
| person.identifier.scopus-author-id | 24598020700 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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