Free and Cyclic Canonical (m, n)-Ary Hypermodules

Z. Belali；S. M. Anvariyeh；S. Mirvakili

Tamkang Journal of Mathematics

42卷1期（2011 / 03 / 01）

105 - 118

英文

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 some results and relations among a finitely generated torsion free and a free (m, n)-hypermodule.