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.
Ahanger, S. A. , Mir, S. A. and Bhat, A. H. (2026). Saturated and absolutely closed posemigroups. Journal of Algebra and Related Topics, (), -. doi: 10.22124/jart.2026.29417.1751
MLA
Ahanger, S. A., , Mir, S. A., and Bhat, A. H.. "Saturated and absolutely closed posemigroups", Journal of Algebra and Related Topics, , , 2026, -. doi: 10.22124/jart.2026.29417.1751
HARVARD
Ahanger, S. A., Mir, S. A., Bhat, A. H. (2026). 'Saturated and absolutely closed posemigroups', Journal of Algebra and Related Topics, (), pp. -. doi: 10.22124/jart.2026.29417.1751
CHICAGO
S. A. Ahanger , S. A. Mir and A. H. Bhat, "Saturated and absolutely closed posemigroups," Journal of Algebra and Related Topics, (2026): -, doi: 10.22124/jart.2026.29417.1751
VANCOUVER
Ahanger, S. A., Mir, S. A., Bhat, A. H. Saturated and absolutely closed posemigroups. Journal of Algebra and Related Topics, 2026; (): -. doi: 10.22124/jart.2026.29417.1751
)