On Quotient Canonical (m,n)-Ary Hypermodules

Quotient canonical [Formula: see text]-hypermodules over Krasner [Formula: see text]-hyperrings are studied as a generalization of the well-known algebraic hyperstructures. In this work, we prove that if [Formula: see text] is a normal [Formula: see text]-ary subhypermodule, then the [Formula: see text]-ary hyperoperations defined on the quotient canonical [Formula: see text]-ary hypermodule [Formula: see text] are [Formula: see text]-ary operations and the relation [Formula: see text] is a strongly regular relation. Further, in this case, it is shown that the scalar hyperoperation is just an operation.