E. Kompantseva

activity

20212025

most citedRings on quotient divisible abelian groups

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.GR2025★ 1 cited

Rings on quotient divisible abelian groups

Kompantseva E., Nguyen T. Q. T

The paper is devoted to the study of absolute ideals of groups in the class $Q D 1$ , which consists of all quotient divisible abelian groups of torsion-free rank 1. A ring…

math.GR2022

Multiplication Groups of Abelian Torsion-Free Groups of Finite Rank

Ekaterina Kompantseva, Askar Tuganbaev

For an Abelian group $G$ , any homomorphism $μ : G \otimes G \to G$ is called a \textsf{multiplication} on $G$ . The set $Mult G$ of all multiplications on an Abeli…

math.RA2021

Rings on Abelian Torsion-Free Groups of Finite Rank

Ekaterina Kompantseva, Askar Tuganbaev

In the class of reduced Abelian torsion-free groups $G$ of finite rank, we describe TI-groups, this means that every associative ring on $G$ is filial. If every associative multipl…