AGQP-Injective Modules

الملخص EN

Let R be a ring and let M be a right R-module with S = End(MR).

M is called almost general quasi-principally injective (or AGQP-injective for short) if, for any 0≠s∈S, there exist a positive integer n and a left ideal Xsn of S such that sn≠0 and lS(Ker(sn))=Ssn⊕Xsn.

Some characterizations and properties of AGQP-injective modules are given, and some properties of AGQP-injective modules with additional conditions are studied.