  In the following text we introduce the notion of chaoticity modulo an ideal
in the sense of Li-Yorke in topological transformation semigroups and bring
some of its elementary properties. We continue our study by characterizing a
class of abelian infinite Li-Yorke chaotic Fort transformation groups and show
all of the elements of the above class is co-decomposable to non-Li-Yorke
chaotic transformation groups.
