Description
The aim of this research work is to define and characterize a new class of algebraic hyperstructures that we call weak transposition
-ary hypergroups. They are a generalization of transposition hypergroups,
-ary polygroups and join
-spaces. A subclass of weak transposition
-ary hypergroups is studied. Also, we prove that the class of weak transposition
-ary hypergroups with a unique scalar identity and the class of
-ary polygroups coincide.



