Abstract
In the present paper, a series of results and examples that explore the structural features of Hcommutative semigroups are provided. We also generalize a result of Isbell from commutative semigroups to Hcommutative semigroups by showing that the dominion of an H-commutative semigroup is H-commutative. We then use this to generalize Howie and Isbell's result that any H-commutative semigroup satisfying the minimum condition on principal ideals is saturated.