1 citations · 1 across the 13 of their papers we have counts for
5 papers · 1 filter
Semi-Generalized co-Bassian Groups
Andrey R. Chekhlov, Peter V. Danchev, Patrick W. Keef
As a common non-trivial generalization of the notion of a generalized co-Bassian group, recently defined by the third author, we introduce the notion of a semi-generalized co-Bassi…
Semi-Generalized Bassian Groups
Andrey R. Chekhlov, Peter V. Danchev, Patrick W. Keef
As a common non-trivial generalization of the concept of a proper generalized Bassian group, we introduce the notion of a semi-generalized Bassian group and initiate its comprehens…
On Abelian Groups Having Isomorphic Proper Strongly Invariant Subgroups
Andrey R. Chekhlov, Peter V. Danchev
We consider two variants of those Abelian groups with all proper strongly invariant subgroups isomorphic and give an in-depth study of their basic and specific properties in either…
Solution to the Uniformly Fully Inert Subgroups Problem for Abelian Groups
Andrey R. Chekhlov, Peter V. Danchev
A famous conjecture attributed to Dardano-Dikranjan-Rinauro-Salce states that any uniformly fully inert subgroup of a given group is commensurable with a fully invariant subgroup (…
On Abelian Groups Having All Proper Characteristic Subgroups Isomorphic
Andrey R. Chekhlov, Peter V. Danchev
We consider two variants of those Abelian groups with all proper characteristic subgroups isomorphic and give an in-depth study of their basic and specific properties in either par…