FREE AND CYCLIC CANONICAL (m,n) ARY HYPERMODULES

@inproceedings{Belali2011FREEAC,
  title={FREE AND CYCLIC CANONICAL (m,n) ARY HYPERMODULES},
  author={Z. Belali and Seid Mohammad Anvariyeh and S. Mirvakili},
  year={2011}
}
In this paper, the class of free and cyclic canonical $(m,n)-$ary hypermodules over Krasner $(m,n)-$ary hyperrings is defined. Free canonical $(m,n)-$ary hypermodules are a generalization of free canonical hypermodules and a generalization of free modules. Also, several properties are found. In addition, we introduce the concepts of a free basis and a free $(m,n)$-hypermodules as a free object in the category of $(m,n)$-hypermodules and prove some results in this respect. Finally, we obtain… CONTINUE READING

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