Dergiler / European Journal of Pure and Applied Mathematics (elektronik) / 2011 / Cilt: 4 - Sayı: 3
Naturally ordered abundant semigroups for which each idempotent has a greatest inverse
- Sayfa
- 210–220
- DOI
- —
Abstract
G-regular and reflexive naturally ordered abundant semigroups each of whose idempotents has a greatest inverse are studied. In this paper, we give a construction theorem for such ordered semigroups. Our theorem extends a previous structure theorem on naturally ordered abundant semigroups of X.J. Guo and X.Y. Xie [13]. Some other results related to naturally ordered regular semigroups are amplified and strengthened.