Canonical (m,n)-Ary Hypermodules over Krasner (m,n)-Ary Hyperrings

The aim of this research work is to define and characterize a new class of n-ary multialgebra that may be called canonical (m, n)? hypermodules. These are a generalization of canonical n-ary hypergroups, that is a generalization of hypermodules in the sense of canonical and a subclasses of (m, n)?ary hypermodules. In addition, three isomorphism theorems of module theory and canonical hypermodule theory are derived in the context of canonical (m, n)-hypermodules.