fuzzy small submodule and jacobson 𝐿-radical

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ID: 136487
2011
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Abstract
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.
Reference Key
rahman2011internationalfuzzy Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Saifur Rahman;Helen K. Saikia
Journal structural engineering and mechanics
Year 2011
DOI
10.1155/2011/980320
URL
http://dx.doi.org/10.1155/2011/980320
Keywords
mathematics

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