The free completely regular semigroup on a set

Presentations for Subgroups of Monoids

http://horticulture.persiangig.com/Algebra%203.pdf

Group Theory via Global Semigroup Theory

Algorithmic Problems in Groups, Semigroups and Inverse Semigroups

We discuss the structure of some inverse semigroups and the associated C* algebras. In particular, we study the bicyclic semigroup and the free monogenic inverse semigroup, following earlier work of Conway, Duncan and Paterson. We then associate to each zero-one matrix A an inverse semigroup CA, and show that the C*-algebra OA of Cuntz and Krieger is closely related to the semigroup algebra C*(CA).

/pdf/the-c-algebras-of-some-inverse-semigroups-2t9xl9hceb.pdf

B. M. Schein

Papers

Free inverse semigroups are not finitely presentable