A. Tuganbaev

activity

20172026

most citedRight Serial Skew Laurent Series Rings

5 citations · 11 across the 24 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.RA2020

Centrally Essential Torsion-Free Rings of Finite Rank

Oleg Lyubimtsev, Askar Tuganbaev

It is proved that centrally essential rings, whose additive groups of finite rank are torsion-free groups of finite rank, are quasi-invariant but not necessarily invariant. Torsion…

math.RA2020

Local Centrally Essential Subalgebras of Triangular Algebras

O. V. Lyubimtsev, A. A. Tuganbaev

We study local centrally essential subalgebras in the algebra of all upper triangular matrices over a field of characteristic $\neq = 2$ . It is proved that the algebras of upper trian…

math.RA2020

Semidistributive Laurent Series Rings

Askar Tuganbaev

If $A$ is a ring with automorphism $φ$ and the skew Laurent series ring $A ((x, φ))$ is a right semidistributive semilocal ring then $A$ is a right semidistributive right Artinian ri…

math.RA2020★ 5 cited

Right Serial Skew Laurent Series Rings

Askar Tuganbaev

Let $A$ be a ring and $φ$ its automorphism. It is proved that skew Laurent series ring $A ((x, φ))$ is a right serial ring if and only if $A$ is a right serial right Artinian ring.