The Characterization of Nelson Algebras by Sheffer Stroke
| dc.contributor.author | Öner, T. | |
| dc.contributor.author | Katican, T. | |
| dc.contributor.author | Borumand Saeid, A.B. | |
| dc.date.accessioned | 2025-12-30T15:57:27Z | |
| dc.date.available | 2025-12-30T15:57:27Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | In this study, Sheffer stroke Nelson algebras (briefly, s-Nelson algebras), (ultra) ideals, quasi-subalgebras, quotient sets, and fuzzy structures on these algebraic structures are introduced. The relationships between s-Nelson and Nelson algebras are analyzed. It is also shown that an s-Nelson algebra is a bounded distributive modular lattice, and the family of all ideals forms a complete distributive modular lattice. A congruence relation on an s-Nelson algebra is determined by an ideal and quotient s-Nelson algebras are constructed by this congruence relation. Finally, it is indicated that a quotient s-Nelson algebra constructed by the ultra ideal is totally ordered and that the cardinality of the quotient is less than or equal to 2. © 2025 Tahsin Oner et al., published by Ovidius University of Constanta. | en_US |
| dc.identifier.doi | 10.2478/auom-2025-0030 | |
| dc.identifier.issn | 1224-1784 | |
| dc.identifier.issn | 1844-0835 | |
| dc.identifier.scopus | 2-s2.0-105026065258 | |
| dc.identifier.uri | https://doi.org/10.2478/auom-2025-0030 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/8456 | |
| dc.language.iso | en | en_US |
| dc.publisher | Sciendo | en_US |
| dc.relation.ispartof | Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | (Ultra) Ideal | en_US |
| dc.subject | Nelson Algebra | en_US |
| dc.subject | Primary 06F05, 03G25 | en_US |
| dc.subject | Quasi-Subalgebra | en_US |
| dc.subject | S-Nelson Algebra | en_US |
| dc.subject | Secondary 03G25, 03G10 | en_US |
| dc.subject | Sheffer Stroke | en_US |
| dc.title | The Characterization of Nelson Algebras by Sheffer Stroke | en_US |
| dc.type | Article | en_US |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | [Öner] Tahsi̊n, Department of Mathematics, Ege Üniversitesi, Izmir, Turkey; [Katican] Tugce, Department of Mathematics, Izmir Ekonomi Üniversitesi, Izmir, Turkey; [Borumand Saeid] Arsham, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Kerman, Iran | en_US |
| gdc.description.endpage | 119 | |
| gdc.description.endpage | 119 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 93 | |
| gdc.description.startpage | 93 | en_US |
| gdc.description.volume | 33 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.virtual.author | Katıcan, Tuğçe | |
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