A. A. Tuganbaev

most citedAbsolute Ideals of Almost Completely Decomposable Abelian Groups

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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…