18 citations · 56 across the 21 of their papers we have counts for
8 papers · 1 filter
On the structure of some one-generator nilpotent braces
Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
This article provides a detailed description of some nilpotent left braces generated by one element.
On groups whose subnormal abelian subgroups are normal
Leonid A. Kurdachenko, Javier Otal, Igor Ya. Subbotin
In the current paper we study the groups, whose subnormal abelian subgroups are normal. We obtained a quite detailed description of such hyperabelian groups with a periodic Baer ra…
On the structure of some contranormal-free groups
Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
A subgroup of a group is contranormal if its normal closure coincides with the group. We call such groups without proper contranormal subgroups contranormal-free. In this paper we…
On modules with few minimax cocentralizers
Leonid A. Kurdachenko, Igor Ya. Subbotin, Vasiliy A. Chupordya
Let R be a ring and G a group. An R-module A is said to be minimax if A includes an noetherian submodule B such that A=B is artinian. The authors study a ZG-module A such that A/C_…
On the structure of some modules over generalized soluble groups
Leonid A. Kurdachenko, Igor Ya. Subbotin, Vasiliy A. Chepurdya
Let R be a ring and G a group. An R-module A is said to be artinian-by-(finite rank) if TorR(A) is artinian and A/TorR(A) has finite R-rank. The authors study ZG-modules A such tha…
On a Generalization of Baer Theorem
L. A. Kurdachenko, J. Otal, I. YA. Subbotin
R. Baer has proved that if the factor-group G/ζ_{n}(G) of a group G by the member ζ_{n}(G) of its upper central series is finite (here n is a positive integer) then the member γ_{n…