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math.RA2021
On Transitivity-like Properties for Torsion-Free Abelian Groups
Andrey R. Chekhlov, Peter V. Danchev, Patrick W. Keef
We study some close relationships between the classes of transitive, fully transitive and Krylov transitive torsion-free Abelian groups. In addition, as an application of the achie…
math.RA2019
Strictly invariant submodules
Simion Breaz, Grigore Călugăreanu, Andrey Chekhlov
If is an -module, we study the submodules with the property that is invariant with respect to all monomorphisms . Such submodules are called \t…