e*-Essential Small Submodules and e*-Hollow Modules
Keywords:e*- Small essential submodule, Small submodule, e*- Radical submodule, Radical submodul, e*-Hollow module.
The purpose of this paper is to introduce new concepts in a module Â over a ring , the first one is called e*- small essential submodule, which is a generalization of the small submodule, the second concept is calledÂ e*-radical submodule which is a generalization of the radical submodule and the last concept is called e* - hollow module which is a generalization of the hollow module. We will prove some properties of all these concepts.
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