Shahrood University of Technology Journal of Algebraic Systems 2345-5128 11 1 2023 09 01 Varieties Of Permutative Semigroups Closed Under Dominions 149 172 2672 10.22044/jas.2022.12018.1617 EN Humaira Maqbool Department of Mathematical Sciences, Islamic University of Science and Technology, Kashmir, P.O. Box 192122, Pulwama, India. Mohammad Younus Bhat Department of Mathematical Sciences, Islamic University of Science and Technology, Kashmir, P.O. Box 192122, Pulwama, India. Journal Article 2022 06 20 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. Zigzag equations Dominion Varieties and Identity https://jas.shahroodut.ac.ir/article_2672_ce1ea0de819a1f6b35331b0c6682ec89.pdf