1 Ocak 2014 Dergi makalesi Açık Erişim

Sonmez, Orhan; Unlu, Yusuf

Citation Style Language JSON

{
  "DOI": "10.1080/00927872.2012.716115", 
  "abstract": "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)|.", 
  "author": [
    {
      "family": "Sonmez", 
      "given": " Orhan"
    }, 
    {
      "family": "Unlu", 
      "given": " Yusuf"
    }
  ], 
  "container_title": "COMMUNICATIONS IN ALGEBRA", 
  "id": "64253", 
  "issue": "1", 
  "issued": {
    "date-parts": [
      [
        2014, 
        1, 
        1
      ]
    ]
  }, 
  "page": "332-342", 
  "title": "m-POTENT ELEMENTS IN ORDER-PRESERVING TRANSFORMATION SEMIGROUPS AND ORDERED TREES", 
  "type": "article-journal", 
  "volume": "42"
}