Varieties Of Permutative Semigroups Closed Under Dominions

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.

کلیدواژه ها:

Zigzag equations ، Dominion ، Varieties ، and Identity