KONDISI URUTAN NATURAL PADA SEMIGRUP REGULER

Widayati, Widayati ( Universitas Ahmad Dahlan)

AdMathEdu : Jurnal Ilmiah Pendidikan Matematika, Ilmu Matematika dan Matematika Terapan
Vol 1, No 2 (2011): Desember

In this paper, it’s discussed about the construction of regular semigroup, orthodox semigroup, including inverse semigroup and band. A natural order in S for the regular semigrup is given by  with . Semigroup S is called pure if for  and , then . The purpose of this research is to determine the condition of the natural order on some regular semigrup construction and its relationship with E-unitary and pure semigrup. Pure semigroup and and E-unitary is a special condition of the natural order. There is a natural order that is not a partial order. Natural order can be defined in some semigroup construction. In a mapping, there is a purity that influence each other, and also by inverse semigrup.