Pseudocompact Primitive Topological Inverse Semigroups

We study pseudocompact primitive topological inverse semigroups, describe the structure of pseudocompact primitive topological inverse semigroups, and show that the Tychonoff product of a family of pseudocompact primitive topological inverse semigroups is a pseudocompact topological space. Moreover, we prove that the Stone–Čech compactification of a pseudocompact primitive topological inverse semigroup is a compact primitive topological inverse semigroup. © 2014, Springer Science+Business Media New York.