1 Ocak 2014 Dergi makalesi Açık Erişim

Sonmez, Orhan; Unlu, Yusuf

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    <subfield code="a">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)|.</subfield>
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    <subfield code="a">Sonmez, Orhan</subfield>
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