Demonstrates that dominion properties are consistent in certain semigroups, suggesting broader applications.
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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Maqbool et al. (2023) studied this question.
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