Principal filters of some ordered Γ -semigroups Niovi Kehayopulu
For an intra-regular or a left regular and left duoordered Γ-semigroupM, we describe the principal filter ofMwhich plays an essential role in the structure of this type ofpo-Γ-semigroups. We also prove that an ordered Γ-semigroupMisintra-regular if and only if the ideals ofMare semiprime and itis left (right) regular and left (right) duo if and only if the left(right) ideals ofMare semiprime.
DOI: https://armjmath.sci.am/index.php/ajm/article/view/127 Armenian Journal of Mathematics, 8(2) 96-103
