%0 Journal Article
%T Fuzzy Small Submodule and Jacobson -Radical
%A Saifur Rahman
%A Helen K. Saikia
%J International Journal of Mathematics and Mathematical Sciences
%D 2011
%I Hindawi Publishing Corporation
%R 10.1155/2011/980320
%X Using the notion of fuzzy small submodules of a module, we introduce the concept of fuzzy coessential extension of a fuzzy submodule of a module. We attempt to investigate various properties of fuzzy small submodules of a module. A necessary and sufficient condition for fuzzy small submodules is established. We investigate the nature of fuzzy small submodules of a module under fuzzy direct sum. Fuzzy small submodules of a module are characterized in terms of fuzzy quotient modules. This characterization gives rise to some results on fuzzy coessential extensions. Finally, a relation between small -submodules and Jacobson -radical is established.
%U http://www.hindawi.com/journals/ijmms/2011/980320/