… CS-Baer for every right R-module M. If R is a … module is a direct sum of ds-CS-Baer R-modules.
Also, we show that R is a right perfect ring iff all countably generated free right R-modules …

… on (dual) CS-Rickart modules [1], we introduced in [3] (dual) CS-Rickart objects in abelian
… strongly relative CS-Rickart objects and classes all of whose objects are (dual) strongly self-…

… Crivei and Radu presented transfer of CS-Rickart and dual CS-Rickart properties via functors
between abelian categories in [Citation14]. Transfer of D4-objects in abelian categories via …

… nonzero unity, modules are right modules unless otherwise … ring of all endomorphisms of a
module M. For a submodule N … modules using their endomorphism rings: Let M be a module, …

… the decomposition of the finitely generated module is a direct sum of the … module is always
a free module over a principal ideal domain, then the torsion-free submodule is a free module. …

… and Radu SM, CS-Rickart and dual CS-Rickart objects in abelian categories, arxiv: 2007.11059v1
[4] Crawley-Boevey, W., Locally finitely presented additive categories, Comm. Algebra …

… This study wants to provide a decomposition of the module that was built into a number of …
generated module is the direct sum of the torsion module and the independent module when …

… We show that M is a D4-module if and only if for each i ∈ I the module Mi is a D4-module.
This settles an open question concerning direct sums of D4-modules. Our approach is …

… A generalization of quantales with applications to modules and rings", Journal of Pure and
Applied … Dual CS-Rickart Modules over Dedekind Domains", Algebras and Representation …