Canonical (m,n)−ary hypermodules over Krasner (m,n)−ary hyperrings

Author(s):

S. M. Anvariyeh , S. Mirvakili

Abstract:
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.
Keywords:

Canonicalm , ary hypergroup , Krasner (m , n) , hyperring , (m , n)−ary hypermodules

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:7 Issue: 2, Nov 2012
Page:
17
https://www.magiran.com/p1043207