Generalized SV-modulesGiven an arbitrary quasiprojective right R-
module P, we prove that every
module in the category σ
Rings over which every module is an I*0-module© 2017, Allerton Press, Inc. We obtain a description of semi-artinian rings over which every
module Semisimple-direct-injective modulesThe notion of simple-direct-injective
modules which are a generalization of injective
modules Fully idempotent homomorphismsFor arbitrary
modules A and B we introduce and study the notion of a fully idempotent Hom (A, B
CS-Rickart modulesWe introduce a notion of CS-Rickart
module being a modular analog of the ACS-ring concept. We
On infinite direct sums of lifting modules.) of simple right (Formula presented.)-
modules, every essential extension of (Formula presented.) is a direct
Retractable and coretractable modules in Wisbauer categoryA right R-
module M is called: (1) retractable if HomR(M,N)≠0 for any non-zero submodule N of M; (2