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Publicação
The Rank of the Semigroup of All Order-Preserving Transformations on a Finite Fence
Orientador(es)
Resumo(s)
A zig-zag (or fence) order is a special partial order on a (finite) set. In this paper, we consider the semigroup TFn of all order-preserving transformations on an n-element zig-zag-ordered set. We determine the rank of TFn and provide a minimal generating set for TFn. Moreover, a formula for the number of idempotents in TFn is given.
Descrição
Grant No. SRF-PRG-2557-02.
Palavras-chave
Fence Idempotents Order-preserving Rank of semigroup Transformation semigroups Zig-zag order General Mathematics