Abstract:
In this paper, we discuss the properties of the semigroups diagram formed by a
semigroup presentation. The discussion begins by giving an illustration of the
semigroup diagram from a semigroup presentation P a , b ab ba . Then, a diagram,
an atomic picture and a graph are formed by defining union operation on the diagram
and addition operation on the graph. All the properties of the semigroups diagram are
stated in the form of theorems, as a review of the semigroup diagram section in
Diagram groups written by Guba, V and Sapir, M (1996).