有限全变换半群上的等价类及强幂等元

The Equivalence Class and the Strongly Idempotent on the Finite Full Transformation Semigroups

给出了有限全变换半群上Λ-类、P-类、H-类、幂等元及强幂等元的个数,并重点讨论了强幂等元的性质,给出了方程αx=e及yα=e(α∈Tn,e为Tn的强幂等元)在全变换半群上解的情况.

This paper discusses the number of the ∧-class,P-class,H-class, the idempotent and the strongly idempotent on the finite full transformation semigroups, and discusses the properties of the strongly idempotent. At the same time, the roots of the equations and αx = e, yα = e （ α∈ Tn, e is the strongly idempotent on the Tn） are introduced.