Saturated and absolutely closed posemigroups

We show that commutative inverse posemigroups and finite monogenic posemigroups are saturated in the category of all posemigroups. Further, we show that the variety of pobands satisfying the identity axya=ayxa is closed as well as saturated. Finally, we show that the convex finite monogenic posemigroups and inverse posemigroups are absolutely closed in the category of all commutative posemigroups.

کلیدواژه ها:

Posemigroup‎ ، ‎Dominion‎ ، ‎Zigzag Inequalities‎ ، ‎Permutative‎ ، ‎Variety