M.S. Uddin , A.C. Paul , Free M-Modules, Asian Journal of Information Technology, Volume 5,Issue 11, 2006, Pages 1262-1268, ISSN 1682-3915, ajit.2006.1262.1268, (https://makhillpublications.co/view-article.php?doi=ajit.2006.1262.1268) Abstract: The characterizations of free M-modules are developed. The cardinality of the basis of the free M-modules is studied. At last we have studied the invariant rank property of free M-modules. Keywords: Group;ring;modules;invariant property;mapping;liner property;rank