Somnuek Worawiset

Congruence of order-decreasing and order-preserving on transformations with fixed point

Jörg Koppitz, Somnuek Worawiset

In this paper: Let Cn be the semigroup of all order-preserving and order-decreasing transformations on an n-element chain. Let ζ be an idempotent in Cn. The set Cn(ζ) of all α ∈ Cn such that the image of ζ is the se...