… 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 …

… 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 …

… and A-D3 modules for some class A of right modules. Several characterizations of … modules.
For example, a regular right R-module F is a V -module if and only if every F-cyclic module is …

… Particular classes of CS-Rickart objects are those of Rickart objects in the sense of Crivei and
… direct sums of CS-Rickart objects. We also introduce and discuss dual CS-Rickart objects. …

… 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-…

Ведущаÿ организациÿ: ФГАОУ ВО «Национальный исследовательский Томский
государственный университет» Защита состоитсÿ «23» марта 2017 г. в 14 часов 30 минут на …

… 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 …