A. A. Tuganbaev

most citedRight Serial Skew Laurent Series Rings

5 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

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★ 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.

math.RA2019★ 1 cited

Rings with Polynomial Identity and Centrally Essential Rings

Victor Markov, Askar Tuganbaev

It is proved that for any prime integer $p$ and each field $F$ of characteristic $p$ , there exists a centrally essential $F$ -algebra which is not a PI-ring and is not algebraic ove…

math.RA2019

Cayley-Dickson Process and Centrally Essential Rings

Victor Markov, Askar Tuganbaev

We describe associative center $N (R)$ and the center $Z (R)$ of the ring $R$ obtained by applying the generalized Cayley-Dickson construction and we find conditions under which the…