Green's relations for finite preserving order sandwich semigroup OT(X,Y;θ)
Chen Xian-jun · Journal of Guizhou Normal University · 2010
Let X and Y be arbitrary nonempty order sets,OTX,Y be the set of mappings from X to Y,θ be an arbitrary but fixed mapping from Y to X for any α,β∈OTX,Y,the operation in OTX,Y is defined by α°β=αθβ,,where αθβ is the production of mappings.Then OTX,Y forms a semigroup called sandwich semigroup and denoted by OT(X,Y;θ).The sandwich semigroup OT(X,Y;θ) is called finite preserving order sandwich semigroup when both X and Y are finite sets and |X|,|Y|1.In this paper,we discuss the Green's relations for OT(X,Y;θ).