Algebras Of Locally Ample Semigroups

The aim of thesis is to study algebras of locally ample semigroups.It is proved that any algebra of locally ample semigroups which is ?-finite has a formal matrix representation.In particular,algebras of finite locally ample semigroups has a generalized triangular matrix representation.As their applications,we determine when algebras of locally ample semigroups which is?-finite to have identity(to be semiprime).