On Almost WJCP-Injective Rings

Let R be a ring. The ring  is called right almost WJCP-injective. If for any , (right non singular) there exists a left ideal  of  such that . In this paper, we give some characterization and properties of almost WJCP-injective rings, which are proper generalization of JCP-injective ring and almost...

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Bibliographic Details
Main Authors: Shaima Ahmed (Author), Raed Mahmoud (Author)
Format: Book
Published: College of Education for Pure Sciences, 2019-03-01T00:00:00Z.
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Summary:Let R be a ring. The ring  is called right almost WJCP-injective. If for any , (right non singular) there exists a left ideal  of  such that . In this paper, we give some characterization and properties of almost WJCP-injective rings, which are proper generalization of JCP-injective ring and almost AP-injective ring. Then, we study the regularity of the right almost WJCP-injective ring and some important results which are known for the right JCP-injective rings to be hold for the right almost WJCP-injective rings.
Item Description:1812-125X
2664-2530
10.33899/edusj.2019.160915