Alexander Sistko

activity

20162022

collaborators

Showing math.RAShow all

4 papers · 1 filter

math.RA2020

Ore Extensions and Infinite Triangularization

Miodrag Iovanov, Jeremy Edison, Alexander Sistko

We give infinite triangularization and strict triangularization results for algebras of operators on infinite dimensional vector spaces. We introduce a class of algebras we call Or…

math.RA2018

On Isoclasses of Maximal Subalgebras Determined by Automorphisms

Alexander H. Sistko

Let $k$ be an algebraically-closed field, and let $B = k Q / I$ be a basic, finite-dimensional associative $k$ -algebra with $n := dim_{k} B < \infty$ . Previous work shows that the colle…

math.RA2018

Automorphism Groups of Finite-Dimensional Algebras Acting on Subalgebra Varieties

Alexander H. Sistko

Let $k$ be an algebraically-closed field, and $B$ a unital, associative $k$ -algebra with $n := dim_{k} B < \infty$ . For each $1 \leq m \leq n$ , the collection of all $m$ -dimensional su…

math.RA2016

On the Toeplitz-Jacobson algebra and direct finiteness

Miodrag C Iovanov, Alexander Sistko

We study the representation theory of the algebraic Toeplitz algebra $R = K ⟨ x, y ⟩ / ⟨ x y - 1 ⟩$ , give a few new structure and homological theorems, compl…