  In this paper, we extend the notion of prime subhypermodules to n-ary
classical prime, n-ary weakly classical prime and n-ary phi-classical prime
subhypermodules of an (m,n)-hypermodule over a commutative Krasner
(m,n)-hyperring. Many properties and characterizations of them are introduced.
Moreover, we investigate the behavior of these structures under hypermodule
homomorphisms, quotient hypermodules and cartesian product.
