On Some Transformation Semigroups

The Ranks of Some Transformation Semigroups on a Finite Set

On conjugation in some transformation and Brauer-type semigroups

We give, in terms of (generalized) cyclic types, a criterion for two elements of Tn, PT n, IS(N), Bn, PBn and Cn to be conjugate with respect to the conjugation defined as the transitive closure of the xy ∼ yx relation.

UNIVERSAL COMPACTIFICATIONS OF TRANSFORMATION SEMIGROUPS

We extend the notion of semigroup compactification to the class of transformation semigroups, and determine the compactifications which are universal with respect to some topological properties.

On transformation semigroups which are ℬ-semigroups

A semigroup whose bi-ideals and quasi-ideals coincide is called a -semigroup. The full transformation semigroup on a set X and the semigroup of all linear transformations of a vector space V over a field F into itself are denoted, respectively, by T(X) and LF(V). It is known that every regular semigroup is a -semigroup. Then both T(X) and LF(V) are -semigroups. In 1966, Magill introduced and st...

On Transformation Semigroups Which Are Bq-semigroups

A semigroup whose bi-ideals and quasi-ideals coincide is called a -semigroup. The full transformation semigroup on a set X and the semigroup of all linear transformations of a vector space V over a field F into itself are denoted, respectively, by T(X) and LF(V). It is known that every regular semigroup is a -semigroup. Then both T(X) and LF(V) are -semigroups. In 1966, Magill introduced and st...