Title of article :
Pseudo PQ-injective modules
Author/Authors :
Zhu, Zhanmin Jiaxing University - Department of Mathematics, CHINA
Abstract :
A module MR 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.
Keywords :
PPQ , injective modules , Endomorphism rings , Strongly Kasch modules , semisimple artinian rings , perfect rings
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics