A module M_R is called Pseudo PQ-injective (or PPQ-injective for short) if every monomorphism from a principal submodule of M to M extends to an endomorphism of M. Some characterizations and properties of this class of modules are investigated, PPQ-injective modules with some additional conditions are studied, semisimple artinian rings are characterized by PPQ-injective modules.
PPQ- injective modules; Endomorphism rings; Strongly Kasch modules; semisimple artinian rings; perfect rings
"Pseudo PQ-injective modules,"
Turkish Journal of Mathematics: Vol. 35:
3, Article 4.
Available at: https://journals.tubitak.gov.tr/math/vol35/iss3/4