Varieties Of Permutative Semigroups Closed Under Dominions

نویسندگان

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

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

doi
10.22044/jas.2022.12018.1617
چکیده

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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