Dominion Closure in Varieties of Commutative Posemigroups

Document Type : Original Article

Authors

Aazad Hussain Sofi

Sudheer Sharma

Sanjay Sharma

Department of Applied Sciences, Mathematics, NIET, NIMS University, Jaipur, Rajasthan, India

10.22067/kjm.2026.565510.3788

Abstract

In this paper, we establish sufficient conditions for certain commutative varieties of posemigroups to be closed under dominions. Furthermore, we extend a key result from the class of commutative posemigroups to more generalized classes, demonstrating that the dominions of these posemigroups remain within the same varieties. This partial generalization broadens the understanding of dominions in the context of commutative posemigroups and their algebraic structure.

Keywords

Posemigroups

Dominions

Epimorphisms

Zigzag equations

Subjects

• 20 Group theory and generalizations

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