Extended BCK-Ideal Based on Single-Valued Neutrosophic Hyper BCK-Ideals
| dc.contributor.author | Hamidi , Mohammad | |
| dc.date.accessioned | 2024-01-04T12:38:38Z | |
| dc.date.available | 2024-01-04T12:38:38Z | |
| dc.date.issued | 2023-08-10 | |
| dc.identifier.issn | 0138-0680 | |
| dc.identifier.uri | http://hdl.handle.net/11089/49157 | |
| dc.description.abstract | This paper introduces the concept of single-valued neutrosophic hyper \(BCK\)-subalgebras as a generalization and alternative of hyper \(BCK\)-algebras and on any given nonempty set constructs at least one single-valued neutrosophic hyper \(BCK\)-subalgebra and one a single-valued neutrosophic hyper \(BCK\)-ideal. In this study level subsets play the main role in the connection between singlevalued neutrosophic hyper \(BCK\)-subalgebras and hyper \(BCK\)-subalgebras and the connection between single-valued neutrosophic hyper \(BCK\)-ideals and hyper \(BCK\)-ideals. The congruence and (strongly) regular equivalence relations are the important tools for connecting hyperstructures and structures, so the major contribution of this study is to apply and introduce a (strongly) regular relation on hyper \(BCK\)-algebras and to investigate their categorical properties (quasi commutative diagram) via single-valued neutrosophic hyper \(BCK\)-ideals. Indeed, by using the single-valued neutrosophic hyper \(BCK\)-ideals, we define a congruence relation on (weak commutative) hyper \(BCK\)-algebras that under some conditions is strongly regular and the quotient of any (single-valued neutrosophic)hyper \(BCK\)-(sub)algebra via this relation is a (single-valued neutrosophic)(hyper \(BCK\)-subalgebra) \(BCK\)-(sub)algebra. | en |
| dc.language.iso | en | |
| dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | pl |
| dc.relation.ispartofseries | Bulletin of the Section of Logic;4 | en |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0 | |
| dc.subject | single-valued neutrosophic (hyper)\(BCK\)-subalgebra | en |
| dc.subject | quasi commutative diagram | en |
| dc.subject | extendable single-valued neutrosophic (hyper)\(BCK\)-ideal | en |
| dc.title | Extended BCK-Ideal Based on Single-Valued Neutrosophic Hyper BCK-Ideals | en |
| dc.type | Other | |
| dc.page.number | 411-440 | |
| dc.contributor.authorAffiliation | University of Payame Noor, Department of Mathematics | en |
| dc.identifier.eissn | 2449-836X | |
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| dc.contributor.authorEmail | m.hamidi@pnu.ac.ir | |
| dc.identifier.doi | 10.18778/0138-0680.2023.20 | |
| dc.relation.volume | 52 |
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