A note on Green's relations in the semigroups T (X, rho)

作者：Pei Huisheng^*; Deng Weina

来源：Semigroup Forum, 2009, 79(1): 210-213.

DOI：10.1007/s00233-009-9151-3

• Transformations
• Semigroups
• Green's relations

Let X be a set and T(X) the full transformation semigroup on X. Let rho be an equivalence relation on X and
T(X, rho) = {f is an element of T(X) : for all(x, y) is an element of rho, (f(x), f(y)) is an element of rho}.
Then T (X, rho) is a subsemigroup of T(X). In this note, we describe the equivalence relations rho on X for which D = J in the semigroup T (X, rho).

• 出版日期2009-8
• 单位信阳师范学院