On prime and primary subhypermodules of (m,n)-hypermodules

Let R be an (m,n)-hyperring and M be an (m,n)-hypermodule over R. We introduce and study n-ary prime, primary and maximal subhypermodules of M. Also, Jacobson radical and the quotient structure of a canonical (m,n)-hypermodule are discussed. Finally, the connection between prime, primary and maximal subhypermodules and hyperideals of R is investigated.