Idempotent Generators of a Finite Singular Transformation Semigroup with a Stable Subset
Gao Rong-hai · Journal of Sichuan Normal University · 2010
Let S(Xn,A) be finite singular transformation with a stable subset A.By using methods used by others,some digraph properties associated with E(Jn*-1) in S(Xn,A) are considered.It is proved that the directed digraph associated with E(Jn*-1) is maximal strongly complete.Moreover the elements generated by idempotents in Jn*-1 are characterized,and the structure of the subsemigroup generalted by the subsets I1,I2 of E(Jn*-1) is also given.The present results are useful to further study the properties of the semigroups.