Fuzzy Small Submodule and Jacobson L-Radical

نویسندگان

  • Saifur Rahman
  • Helen K. Saikia
چکیده

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 L-submodules and Jacobson L-radical is established.

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2011  شماره 

صفحات  -

تاریخ انتشار 2011