On Nilpotent Subsemigroups of the Order-Decreasing Transformation Semigroups

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dc.authoridYAGCI, Melek/0000-0002-0457-156X
dc.contributor.authorYagci, Melek
dc.date.accessioned2025-03-23T19:42:14Z
dc.date.available2025-03-23T19:42:14Z
dc.date.issued2023
dc.departmentSinop Üniversitesi
dc.description.abstractFor n is an element of N, let D-n be the semigroup of all order-decreasing transformations on X-n = {1, ... , n}, under its natural order, and let E(D-n) be the set of all idempotents in D-n and for any xi is an element of E(D-n), let D-n(xi) = {alpha e D-n : alpha(m) = xi for some m is an element of Z(+)}. In this paper, first we show that D-n(xi) is the maximum nilpotent subsemigroup of D-n with zero element xi. Moreover, we determine the minimum generating set of D-n(xi), and so the rank of D-n(xi). Also, we find the cardinality of D-n(xi).
dc.identifier.doi10.1007/s40840-022-01447-1
dc.identifier.issn0126-6705
dc.identifier.issn2180-4206
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85144485734
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s40840-022-01447-1
dc.identifier.urihttps://hdl.handle.net/11486/6741
dc.identifier.volume46
dc.identifier.wosWOS:000901722100001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorYagci, Melek
dc.language.isoen
dc.publisherSpringernature
dc.relation.ispartofBulletin of the Malaysian Mathematical Sciences Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectOrder-decreasing transformation
dc.subjectMinimum generating set
dc.subjectRank
dc.subjectNilpotent subsemigroups
dc.titleOn Nilpotent Subsemigroups of the Order-Decreasing Transformation Semigroups
dc.typeArticle

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