Varieties Of Permutative Semigroups Closed Under Dominions

Document Type : Original Manuscript

Authors

Department of Mathematical Sciences, Islamic University of Science and Technology, Kashmir, P.O. Box 192122, Pulwama, India.

Abstract

In this paper, we partially generalize a result of Isbell from the class of commu- tative semigroups to some generalized class of commutative semigroups by showing that dominion of such semigroups belongs to the same class by using Isbell’s zigzag theorem. we found some permutative semigroups for which dominion satisfies the identity of subsemigroup of a semigroup S.

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References

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Journal of Algebraic Systems
Volume 11, Issue 1
September 2023
Pages 149-172

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