On primary isolated submodules
Let L be a left module over a ring \ S with identity. In this paper, the concept of primary isolated submodules is introduced. We look for relations between this class of submodules and related modules. A number of facts and characterizations that concern is gained. The aim of this work is to introduce and study the primary isolated submodules as a generalization of isolated submodules. A submodule A of L is primary isolated if for each proper B of A, there is a primary submodule C of L, B⊆C but\ A⊈C. Some properties are gained and we look for any relationship between this type of modules and other related modules.
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