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JNB-ALGEBRAS
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Jun, Young Bae | - |
| dc.contributor.author | Noorbhasha, Rafi | - |
| dc.contributor.author | Bandaru, Ravikumar | - |
| dc.date.accessioned | 2025-07-02T05:00:09Z | - |
| dc.date.available | 2025-07-02T05:00:09Z | - |
| dc.date.issued | 2025-11 | - |
| dc.identifier.issn | 2345-511X | - |
| dc.identifier.issn | 2345-511X | - |
| dc.identifier.uri | https://scholarworks.gnu.ac.kr/handle/sw.gnu/79111 | - |
| dc.description.abstract | As a generalization of the self-distributive BE-algebra, the JNB-algebra is introduced, and its basic properties are investigated. This could play various roles in the study of logical algebra, including BCK-algebra. First, examples are presented showing that the three axioms of JNB-algebra are independent of each other. The basic properties of JNB-algebras that will be needed to study various theories about JNB-algebras are explored. Upper sets based on one and two elements are introduced and its associated properties are examined. Two concepts so called JNB-deductive system and JNB-filter are introduced, and their properties are investigated. Characterizations of the JNB-deductive system and the JNB-filter are discussed. It is finally confirmed that the JNB-deductive system matches the JNB-filter. © 2025, Shahrood University of Technology. All rights reserved. | - |
| dc.format.extent | 18 | - |
| dc.language | 영어 | - |
| dc.language.iso | ENG | - |
| dc.publisher | Shahrood University of Technology | - |
| dc.title | JNB-ALGEBRAS | - |
| dc.type | Article | - |
| dc.publisher.location | 이란 | - |
| dc.identifier.doi | 10.22044/jas.2023.13817.1771 | - |
| dc.identifier.scopusid | 2-s2.0-105008687313 | - |
| dc.identifier.wosid | 001522776700004 | - |
| dc.identifier.bibliographicCitation | Journal of Algebraic Systems, v.13, no.3, pp 45 - 62 | - |
| dc.citation.title | Journal of Algebraic Systems | - |
| dc.citation.volume | 13 | - |
| dc.citation.number | 3 | - |
| dc.citation.startPage | 45 | - |
| dc.citation.endPage | 62 | - |
| dc.type.docType | Article | - |
| dc.description.isOpenAccess | Y | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.description.journalRegisteredClass | esci | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics | - |
| dc.subject.keywordAuthor | JNB-Algebra | - |
| dc.subject.keywordAuthor | JNB-Deductive system | - |
| dc.subject.keywordAuthor | JNB-Filter | - |
| dc.subject.keywordAuthor | JNB-Subalgebra | - |
| dc.subject.keywordAuthor | Upper set | - |
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