L-Hollow modules
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Abstract
To consider R is a commutative ring with unity, be a nonzero unitary left R-module, is known hollow module if each proper submodule of is small. L-hollow module is a strong form of hollow module, where an R-module is known L-hollow module if has a unique maximal submodule which contains each small submodules. The current study deals with this class of modules and give several fundamental properties related with this concept.
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