Idempotent Rank of Decreasing-order Strictly Partial Transformation Semigroups
Gao Rong-hai · Journal of Henan Normal University · 2010
Let SP-n be the decreasing-order strictly partial transformations on a totally ordered finite set Xn.For 4≤n,2≤r≤n-2,the paper shows that the subsemigroup SK-(n,r)={α∈SP-n∶|Im α|≤r}is idempotent-generated and it is generated by the(r+1)S(n,r+1) idempotents in J*r.