The Order of Generalized Hypersubstitutions of Type τ=(2)‎

الملخص EN

The order of hypersubstitutions, all idempotent elements on the monoid of all hypersubstitutions of type τ=(2) were studied by K.

Denecke and Sh.

L.

Wismath and all idempotent elements on the monoid of all hypersubstitutions of type τ=(2,2) were studied by Th.

Changpas and K.

Denecke.

We want to study similar problems for the monoid of all generalized hypersubstitutions of type τ=(2).

In this paper, we use similar methods to characterize idempotent generalized hypersubstitutions of type τ=(2) and determine the order of each generalized hypersubstitution of this type.

The main result is that the order is 1,2 or infinite.