Saturated and absolutely closed posemigroups

Document Type : Research Paper

Authors

1 Department of Mathematics‎, ‎Central University of Kashmir‎, ‎Ganderbal‎, ‎India

2 Desh Bhagat University‎, ‎Punjab‎, ‎India

3 Goverment Degree College Shopian‎, ‎Jammu and Kashmir‎, ‎India

Abstract

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.

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References

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Journal of Algebra and Related Topics
Volume 14, Issue 1
August 2026
Pages 183-198

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