Weakly injective modules and weakly projective modules

A. N. Abyzov^a, T. D. Bui<sup>ab

a</sup> Kazan State University, 18 Kremlyovskaya str., Kazan, 420008 Russia
^b Can Tho University of Technology, 256 Nguyen Van Cu str., Can Tho City, Vietnam

Abstract: Weakly injective and weakly projective modules, which are extensions of the classes of quasi-injective modules and quasi-projective modules respectively, are studied. Descriptions are obtained for weakly injective and weakly projective Abelian groups, as well as for some classes of Abelian groups closely related to them.

Keywords: weakly injective module, weakly projective module, weakly endomorphism-extendable module, weakly endomorphism-liftable module, Abelian group.

UDC: 512.55

Received: 17.10.2024
Revised: 30.10.2024
Accepted: 18.12.2024

DOI: 10.26907/0021-3446-2025-12-3-26