All functions described in chapter Monoids and Semigroups can be applied to transformation monoids.

Green classes are special subsets of a transformation monoid. In
particular, they are domains so all set theoretic functions for domains
(see chapter "Domains") can be applied to Green classes. This is
described in Set Functions for Green Classes. Single Green classes of
a transformation monoid are constructed by the functions `RClass`

(see
RClass and R Classes for Transformation Monoids), `LClass`

(see
LClass and L Classes for Transformation Monoids), `DClass`

(see
DClass and D Classes for Transformation Monoids), and `HClass`

(see
HClass and H Classes for Transformation Monoids). The list of all
Green classes of a given type in a transformation monoid is constructed
by the functions `RClasses`

(see RClasses), `LClasses`

(see
LClasses), `DClasses`

(see DClasses), and `HClasses`

(see
HClasses).