Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14365/4818
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dc.contributor.authorKatıcan Tuğçe-
dc.contributor.authorÖner, T.-
dc.contributor.authorSaeid, A.B.-
dc.date.accessioned2023-09-11T17:53:48Z-
dc.date.available2023-09-11T17:53:48Z-
dc.date.issued2023-
dc.identifier.issn2423-3447-
dc.identifier.urihttps://doi.org/10.22034/as.2023.3006-
dc.identifier.urihttps://hdl.handle.net/20.500.14365/4818-
dc.description.abstractThe main objective of this study is to introduce Sheffer stroke R0−algebra (for short, SR0− algebra). Then it is stated that the axiom system of a Sheffer stroke R0−algebra is independent. It is indicated that every Sheffer stroke R0−algebra is R0−algebra but specific conditions are necessarily for the inverse. Afterward, various ideals of a Sheffer stroke R0−algebra are defined, a congruence relation on a Sheffer stroke R0−algebra is determined by the ideal and quotient Sheffer stroke R0−algebra is built via this congruence relation. It is proved that quotient Sheffer stroke R0−algebra constructed by a prime ideal of this algebra is totally ordered and the cardinality is less than or equals to 2. After all, important conclusions are obtained for totally ordered Sheffer stroke R0−algebras by applying various properties of prime ideals. © 2023 Yazd University.en_US
dc.description.sponsorshipThe authors have made equally contributions to the study. We would like to thank the reviewers for their thoughtful comments and efforts towards improving our manuscript.en_US
dc.language.isoenen_US
dc.publisherYazd Universityen_US
dc.relation.ispartofAlgebraic Structures and their Applicationsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject(prime) Idealen_US
dc.subject(Sheffer stroke) R0−algebraen_US
dc.subjectCongruence relationen_US
dc.subjectSheffer strokeen_US
dc.titleSheffer Stroke R0−Algebrasen_US
dc.typeArticleen_US
dc.identifier.doi10.22034/as.2023.3006-
dc.identifier.scopus2-s2.0-85164465241en_US
dc.departmentİzmir Ekonomi Üniversitesien_US
dc.authorscopusid57200450829-
dc.authorscopusid6505910883-
dc.authorscopusid57544895900-
dc.identifier.volume10en_US
dc.identifier.issue2en_US
dc.identifier.startpage65en_US
dc.identifier.endpage85en_US
dc.institutionauthor…-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ4-
dc.identifier.wosqualityN/A-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.languageiso639-1en-
crisitem.author.dept02.02. Mathematics-
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
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