Regular elements of the complete semigroups of binary relations of the class ?6(X, 8)

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dc.contributor.authorAydin, Neset
dc.contributor.authorDiasamidze, Yasha
dc.contributor.authorSungur, Didem Yesil
dc.date.accessioned2025-01-27T21:19:24Z
dc.date.available2025-01-27T21:19:24Z
dc.date.issued2015
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractIn this paper, let X be a finite set, D be a complete X-semilattice of unions and Q = {T-1, T-2, T-3, T-4, T-5, T-6, T-7, T-8} be an X-subsemilattice of D where T-1 subset of T-3 subset of T-5 subset of T-6 subset of T-8, T-1 subset of T-3 subset of T-5 subset of T-7 subset of T-8, T-2 subset of T-3 subset of T-5 subset of T-6 subset of T-8, T-2 subset of T-3 subset of T-5 subset of T-7 subset of T-8, T-2 subset of T-4 subset of T-5 subset of T-6 subset of T-8, T-2 subset of T-4 subset of T-5 subset of T-7 subset of T-8, T-2 \ T-1 not equal empty set, T-1 \ T-2 not equal empty set, T4 \ T-3 not equal empty set, T-3 \ T-4 not equal empty set, T-6 \ T-7 not equal empty set, T-7 \ T-6 not equal empty set, T-2 boolean OR T-1 = T-3, T-4 boolean OR T-3 = T-5, T-6 boolean OR T-7 = T-8. Using the characteristic family of sets, the characteristic mapping and base sources of Q, we characterize the class whose elements are each isomorphic to Q. We generate some advanced formulas in order to calculate the number of regular elements alpha of B-X (D) satisfying V (D, alpha) = Q, in an efficient way.
dc.identifier.doi10.1515/gmj-2015-0009
dc.identifier.endpage170
dc.identifier.issn1072-947X
dc.identifier.issn1572-9176
dc.identifier.issue2
dc.identifier.scopus2-s2.0-84930799624
dc.identifier.scopusqualityQ2
dc.identifier.startpage159
dc.identifier.urihttps://doi.org/10.1515/gmj-2015-0009
dc.identifier.urihttps://hdl.handle.net/20.500.12428/28593
dc.identifier.volume22
dc.identifier.wosWOS:000355421900002
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWalter De Gruyter Gmbh
dc.relation.ispartofGeorgian Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectSemigroups
dc.subjectbinary relations
dc.subjectregular elements
dc.titleRegular elements of the complete semigroups of binary relations of the class ?6(X, 8)
dc.typeArticle

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