University of Guilan Journal of Algebra and Related Topics 2345-3931 2026 02 19 Saturated and absolutely closed posemigroups 9458 10.22124/jart.2026.29417.1751 EN S. A. Ahanger Department of Mathematics‎, ‎Central University of Kashmir‎, ‎Ganderbal‎, ‎India S. A. Mir Desh Bhagat University‎, ‎Punjab‎, ‎India A. H. Bhat Goverment Degree College Shopian‎, ‎Jammu and Kashmir‎, ‎India Journal Article 2024 12 29 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. Posemigroup‎ ‎Dominion‎ ‎Zigzag Inequalities‎ ‎Permutative‎ ‎Variety https://jart.guilan.ac.ir/article_9458_0e53fbd2d205580ea7caad3e83ba3809.pdf