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Modules close to the automorphism-invariant and coinvariant where some well-known results on essentially injective modules, automorphism-(co)invariant modules

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

Semisimple-direct-injective modulesThe notion of simple-direct-injective modules which are a generalization of injective modules

Almost Projective and Almost Injective Modules
© 2018, Pleiades Publishing, Ltd. The structure of rings over which every right module is almost

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