Pseudo PQ-injective modules

Authors

ZHANMIN ZHU

DOI

10.3906/mat-0911-141

Abstract

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.

Keywords

PPQ- injective modules; Endomorphism rings; Strongly Kasch modules; semisimple artinian rings; perfect rings

First Page

391

Last Page

398

Recommended Citation

ZHU, ZHANMIN (2011) "Pseudo PQ-injective modules," Turkish Journal of Mathematics: Vol. 35: No. 3, Article 4. https://doi.org/10.3906/mat-0911-141
Available at: https://journals.tubitak.gov.tr/math/vol35/iss3/4