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w-extending and pw-extending Modules

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In this work, we introduce and study two concepts of modules. Thefirst one is a generalization of extending modules which is called a wextending module. And the second concept is called pw-extendingmodule which is a stronger property than w-extending. We give basicproperties, example and characterization of these concepts. Moreoverrelationship of w-extending module and pw-extending modules withother types of modules are studied.  
Title: w-extending and pw-extending Modules
Description:
In this work, we introduce and study two concepts of modules.
Thefirst one is a generalization of extending modules which is called a wextending module.
And the second concept is called pw-extendingmodule which is a stronger property than w-extending.
We give basicproperties, example and characterization of these concepts.
Moreoverrelationship of w-extending module and pw-extending modules withother types of modules are studied.
 .

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