The Structure Of Bisimple Inverse Ω-Semigroup And Related Semigroups

In this work, three particular types of semigroups are considered namely: the bisimple inverse w-semigroup, the *-bisimple type A -w semigroup and the *-bisimple type A I-semigroup. Their consideration is motivated by a construction known as the Bruck-Reilly extension of a monoid. In addition, the connection between inverse semigroups and type A semigroups as well as the properties of these types of semigroups are presented.