Sheffer Stroke R0−Algebras
| dc.contributor.author | Katıcan Tuğçe | |
| dc.contributor.author | Öner, T. | |
| dc.contributor.author | Saeid, A.B. | |
| dc.date.accessioned | 2023-09-11T17:53:48Z | |
| dc.date.available | 2023-09-11T17:53:48Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | The 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.sponsorship | The 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.identifier.doi | 10.22034/as.2023.3006 | |
| dc.identifier.issn | 2423-3447 | |
| dc.identifier.scopus | 2-s2.0-85164465241 | |
| dc.identifier.uri | https://doi.org/10.22034/as.2023.3006 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/4818 | |
| dc.language.iso | en | en_US |
| dc.publisher | Yazd University | en_US |
| dc.relation.ispartof | Algebraic Structures and their Applications | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | (prime) Ideal | en_US |
| dc.subject | (Sheffer stroke) R0−algebra | en_US |
| dc.subject | Congruence relation | en_US |
| dc.subject | Sheffer stroke | en_US |
| dc.title | Sheffer Stroke R0−Algebras | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | Katican, T., Department of Mathematics, Faculty of Arts and Sciences, Izmir University of Economics, Balcova, Izmir, Turkey; Oner, T., Department of Mathematics, Faculty of Science, Ege University, Bornova, Izmir, Turkey; Saeid, A.B., Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran | en_US |
| gdc.description.endpage | 85 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 65 | en_US |
| gdc.description.volume | 10 | en_US |
| gdc.description.wosquality | N/A | |
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| gdc.oaire.keywords | (prime) Ideal | |
| gdc.oaire.keywords | Sheffer stroke | |
| gdc.oaire.keywords | (Sheffer stroke) R0?algebra | |
| gdc.oaire.keywords | (Sheffer stroke) R0−algebra | |
| gdc.oaire.keywords | Congruence relation | |
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| gdc.virtual.author | Katıcan, Tuğçe | |
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