Dergi makalesi Açık Erişim
Sonmez, Orhan; Unlu, Yusuf
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"affiliation": "Meliksah Univ, Dept Math, TR-38280 Kayseri, Turkey",
"name": "Sonmez, Orhan"
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"affiliation": "Yeditepe Univ, Dept Math, Istanbul, Turkey",
"name": "Unlu, Yusuf"
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"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)|.",
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"issue": "1",
"pages": "332-342",
"title": "COMMUNICATIONS IN ALGEBRA",
"volume": "42"
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"title": "m-POTENT ELEMENTS IN ORDER-PRESERVING TRANSFORMATION SEMIGROUPS AND ORDERED TREES"
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