most citedAbsolute Ideals of Almost Completely Decomposable Abelian Groups

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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 , 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 of Abelian block-rigid -groups of ring type. A subgroup of an Abelian group is called an \textsf{absolute ideal} of the group …

math.GR2023

Relationships between Almost Completely Decomposable Abelian Groups with Their Multiplication Groups

Ekaterina Kompantseva, Askar Tuganbaev

For an Abelian group , any homomorphism is called a \textsf{multiplication} on . The set of all multiplications on an Abeli…