n-roots on MV-algebras

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dc.contributor.authorDvure?enskij, A.
dc.contributor.authorZahiri, O.
dc.contributor.authorShenavaei, M.
dc.contributor.authorBorzooei, R.A.
dc.date.accessioned2024-05-19T14:33:31Z
dc.date.available2024-05-19T14:33:31Z
dc.date.issued2024
dc.departmentİstinye Üniversitesien_US
dc.description.abstractWe introduce and investigate n-roots in the context of MV-algebras as a generalization of square roots introduced in [16]. We outline their main properties and establish that the class of MV-algebras with n-roots, MVnr, forms a variety. Next, we introduce the concept of strict n-roots and demonstrate an equivalence between MVnr and the class of n-divisible unital ?-groups. It helped us to show that each MV-algebra with an n-root is a direct product of an n-strict MV-algebra and a Boolean algebra. Finally, we delve into the connection between strongly atomless MV-algebras and MV-algebras with strict n-roots, demonstrating that in the context of MVnr, these concepts are equivalent. © 2024en_US
dc.description.sponsorshipHorizon 2020; Agentúra na Podporu V?skumu a V?voja, APVV: APVV-20-0069; Vedecká Grantová Agentúra MŠVVaŠ SR a SAV, VEGA: 2/0142/20 SAV; H2020 Marie Sk?odowska-Curie Actions, MSCA: 945478 - SASPRO 2, 1048/01/01en_US
dc.description.sponsorshipThis project has also received funding from the European Union? Horizon 2020 research and innovation programme under the Marie Sk?odowska-Curie grant agreement No 945478 - SASPRO 2, project 1048/01/01, O.Z.en_US
dc.description.sponsorshipThe paper acknowledges the support by the grant of the Slovak Research and Development Agency under contract APVV-20-0069 and the grant VEGA No. 2/0142/20 SAV, A.D.This project has also received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sk?odowska-Curie grant agreement No 945478 - SASPRO 2, project 1048/01/01, O.Z.en_US
dc.description.sponsorshipThe paper acknowledges the support by the grant of the Slovak Research and Development Agency under contract APVV-20-0069 and the grant VEGA No. 2/0142/20 SAV, A.D.en_US
dc.identifier.doi10.1016/j.fss.2024.108930
dc.identifier.issn0165-0114
dc.identifier.scopus2-s2.0-85188052340en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.fss.2024.108930
dc.identifier.urihttps://hdl.handle.net/20.500.12713/4257
dc.identifier.volume484en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier B.V.en_US
dc.relation.ispartofFuzzy Sets and Systemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectBoolean Algebraen_US
dc.subjectMv-Algebraen_US
dc.subjectN-Rooten_US
dc.subjectN-Strict Mv-Algebraen_US
dc.subjectSquare Rooten_US
dc.subjectStrongly Atomlessen_US
dc.titlen-roots on MV-algebrasen_US
dc.typeArticleen_US

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