Askar Tuganbaev

activity

20222026

collaborators

7 papers

math.RA2026

Seminoetherian Modules over Non-Primitive HNP rings

Askar Tuganbaev

We study the structure of seminoetherian modules. Seminoetherian modules over non-primitive hereditary noetherian prime rings are completely described.

math.RA2026

Generalized Bassian Modules over Non-primitive Dedekind Prime Rings

Askar Tuganbaev

A right $A$ -module $M$ is said to be generalized bassian if the existence of an injective homomorphism $M \to M / N$ for some submodule $N$ of $M$ implies that $N$ is a direct summand…

math.RA2025

Completely Centrally Essential Rings

Oleg Lyubimtsev, Askar Tuganbaev

A ring $R$ is said to be centrally essential if for every its non-zero element $a$ , there exist non-zero central elements $x$ and $y$ with $a x = y$ . A ring $R$ is said to be comple…

math.RA2024

Multiplicative Automorphisms of Incidence Algebras

Evgenii Kaigorodov, Piotr Krylov, Askar Tuganbaev

Let $I (X, R)$ be the incidence algebra of the preordered set $X$ over the ring $R$ . In the case of a finite connected partially ordered set $X$ , we prove that the subgroup of inner…

math.RA2024

On Centrally Essential Rings

Oleg Lyubimtsev, Askar Tuganbaev

A ring $R$ with center $C$ is said to be centrally essential if the module $R_{C}$ is an essential extension of the module $C_{C}$ . In this paper, we study properties of ideals of cent…

math.RA2023

Incidence Coalgebras: Automorphisms and Derivations

Piotr Krylov, Askar Tuganbaev

We describe automorphisms and derivations of the incidence coalgebra $Co (X, F)$ of the partially ordered set $X$ over a field $F$ . In this case, the fact is significantly use…

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…