3 citations · 13 across the 28 of their papers we have counts for
7 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…
Supper Bassian and Nearly Generalized Bassian Abelian Groups
Peter Danchev, Brendan Goldsmith
In connection to two recent publications of ours in Arch. Math. Basel (2021) and Acta Math. Hung. (2022), respectively, and in regard to the results obtained in Arch. Math. Basel (…
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…
Generalized Bassian and other Mixed Abelian Groups with Bounded p-Torsion
Peter V. Danchev, Patrick W. Keef
It is known that a mixed abelian group G with torsion T is Bassian if, and only if, it has finite torsion-free rank and has finite p-torsion (i.e., each Tp is finite). It is also k…
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…
Abelian p-groups with minimal characteristic inertia
Peter V. Danchev, Patrick W. Keef
For Abelian p-groups, Goldsmith, Salce, et al., introduced the notion of minimal full inertia. In parallel to this, we define the concept of minimal characteristic inertia and expl…