E. Kompantseva

activity

20212025

most citedAbsolute Ideals of Almost Completely Decomposable Abelian Groups

1 citations · 2 across the 4 of their papers we have counts for

collaborators

5 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.GR2023★ 1 cited

Absolute Ideals of Almost Completely Decomposable Abelian Groups

Ekaterina Kompantseva, Askar Tuganbaev

We consider the class $A_{0}$ of Abelian block-rigid $C R Q$ -groups of ring type. A subgroup $A$ of an Abelian group $G$ is called an \textsf{absolute ideal} of the group $G$ …

math.GR2023

Relationships between Almost Completely Decomposable Abelian Groups with Their Multiplication Groups

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.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…