Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Chekhlov, Andrey R."'
This paper targets to generalize the notion of Hopfian groups in the commutative case by defining the so-called {\bf relatively Hopfian groups} and {\bf weakly Hopfian groups}, and establishing some their crucial properties and characterizations. Spe
Externí odkaz:
http://arxiv.org/abs/2408.01277
Trying to finalize in some way the present subject, this paper targets to generalize substantially the notions of Bassian and co-Bassian groups by introducing the so-called finitely (co-)Bassian groups, semi (co-)Bassian groups, fully generalized (co
Externí odkaz:
http://arxiv.org/abs/2403.08096
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-Bassian group and initiate its comprehensive study. Specifically, we give a
Externí odkaz:
http://arxiv.org/abs/2310.00765
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 comprehensive investigation. Precisely, we give a satisfactory characterization
Externí odkaz:
http://arxiv.org/abs/2308.13948
Autor:
Chekhlov, Andrey R., Danchev, Peter V.
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 parallel or contrast to the Abelian groups with all proper fully inva
Externí odkaz:
http://arxiv.org/abs/2307.16224
Autor:
Chekhlov, Andrey R., Danchev, Peter V.
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 (see, respectively, [5] and [6]). In this short note, we completely set
Externí odkaz:
http://arxiv.org/abs/2307.15932
Autor:
Chekhlov, Andrey R., Danchev, Peter V.
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 parallel or contrast to the Abelian groups with all proper fully invarian
Externí odkaz:
http://arxiv.org/abs/2301.08924
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 achieved assertions, we resolve some oldstanding problems, posed by Krylov-
Externí odkaz:
http://arxiv.org/abs/2110.04646
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Chekhlov, Andrey R., Danchev, Peter V.
Publikováno v:
Journal of Algebra & Its Applications; Nov2024, Vol. 23 Issue 13, p1-12, 12p
