TY - JOUR T1 - Canonical (m,n)−ary hypermodules over Krasner (m,n)−ary hyperrings TT - JF - IJMSI JO - IJMSI VL - 7 IS - 2 UR - http://ijmsi.ir/article-1-351-en.html Y1 - 2012 SP - 17 EP - 34 KW - Canonicalm-ary hypergroup KW - Krasner (m KW - n)-hyperring KW - (m KW - n)−ary hypermodules. N2 - 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)&minus 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)&minusary hypermodules. In addition, three isomorphism theorems of module theory and canonical hypermodule theory are derived in the context of canonical (m, n)-hypermodules. M3 10.7508/ijmsi.2012.02.003 ER -