On almost WJCP-injective rings

الملخص EN

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.