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m-POTENT ELEMENTS IN ORDER-PRESERVING TRANSFORMATION SEMIGROUPS AND ORDERED TREES

Sonmez, Orhan; Unlu, Yusuf


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{
  "@context": "https://schema.org/", 
  "@id": 64253, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Meliksah Univ, Dept Math, TR-38280 Kayseri, Turkey", 
      "name": "Sonmez, Orhan"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Yeditepe Univ, Dept Math, Istanbul, Turkey", 
      "name": "Unlu, Yusuf"
    }
  ], 
  "datePublished": "2014-01-01", 
  "description": "Let ?(n, r), ?(n, r), and ?(n, r) be the semigroups of s-potent elements in ?(n), the semigroup of order-preserving mappings, such that Fix()={1}, |Fix()|=1, and Fix() is arbitrary, respectively. We give combinatorial results relating the cardinalities |?(n, r)|, |?(n, r)|, and |?(n, r)|. We construct a correspondence between ?(n, r) and T-n,T- r the ordered trees with depth at most r and n nodes. Using this we produce generating functions for |?(n, r)|, |?(n, r)|.", 
  "headline": "m-POTENT ELEMENTS IN ORDER-PRESERVING TRANSFORMATION SEMIGROUPS AND ORDERED TREES", 
  "identifier": 64253, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "m-POTENT ELEMENTS IN ORDER-PRESERVING TRANSFORMATION SEMIGROUPS AND ORDERED TREES", 
  "url": "https://aperta.ulakbim.gov.tr/record/64253"
}
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