Piotr Grzeszczuk

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20192026

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3 papers · 1 filter

math.RA2020

Locally nilpotent skew extensions of rings

Piotr Grzeszczuk

We extend existing results on locally nilpotent differential polynomial rings to skew extensions of rings. We prove that if $G = {σ_{t}}_{t \in T}$ is a locally finite famil…

math.RA2019

On the semiprimitivity of free skew extensions of rings

Jeffrey Bergen, Piotr Grzeszczuk

Let $X$ be a set of noncommuting variables of cardinality $c a r d (X) ⩾ 2$ , and $G = {σ_{x}}_{x \in X}$ , $D = {δ_{x}}_{x \in X}$ be families of automorphisms an…

math.RA2019

Generic identities for finite group actions

Piotr Grzeszczuk

Let $G$ be a finite group of order $n$ , and $Z_{G} = Z ⟨ ζ_{i, g} ∣ g \in G, i = 1, 2, \dots, n ⟩$ be the free generic algebra, with canonical action of $G$ according to…