Note on Order-preserving Partial Transformation Semigroups
Sigui Hu · Science Technology and Engineering · 2010
Some mistakes are pointed out about the main theorems in passage On Order-preserving Partial Transformation which says E (POn) can be left (right) zero semigroups if and only if α,β ∈ E(POn),then αL β(αR β).On account to E(POn) cannot be semigroups,so E(POn) cannot be left (right) zero semigroups absolutely.The paper amended these faults,and some characterizations are given on the subsemigroups of Order-preserving Partial Transformation Semigroups can be left (right) zero semigroups.