The Green's relations of semigroup of order- preserving or order- reserving transformations in E classes for I_(E~*)(X)
Long Wei-fen · Journal of Guizhou Normal College · 2013
Let I X be the symmetric inverse semigroup on the finite set X,E be an equivalence on X and defineI E*( X) = { f ∈ I x:( x,y) ∈ E( f( x),f( y)) ∈ E}. then I E*( X) forms an inverse subsemigroup of I X. Let DI E*( X) be a semigroup consisting of all preserving order or order-reserving transformations in E classes for I E*( X). This paper deals with the Green's relations of it.