E. Aljadeff

activity

20002021

most citedRepresentability and Specht problem for G-graded algebras

89 citations · 212 across the 21 of their papers we have counts for

collaborators

25 papers

math.RA2021★ 1 cited

Semisimple Algebras and PI-Invariants of Finite Dimensional Algebras

Eli Aljadeff, Yakov Karasik

Let $Γ$ be a $T$ -ideal of identities of an affine PI-algebra over an algebraically closed field $F$ of characteristic zero. Consider the family $M_{Γ}$ of finite dimensiona…

math.RA2020

On generic $G$ -graded Azumaya algebras

Eli Aljadeff, Yakov Karasik

Let $F$ be an algebraically closed field of characteristic zero and let $G$ be a finite group. Consider $G$ -graded simple algebras $A$ which are finite dimensional and $e$ -central…

math.RA2019

Division algebras graded by a finite group

Eli Aljadeff, Darrell Haile, Yakov Karasik

Let $k$ be a field containing an algebraically closed field of characteristic zero. If $G$ is a finite group and $D$ is a division algebra over $k$ , finite dimensional over its cen…

math.RA2016

Verbally prime T-ideals and graded division algebras

Eli Aljadeff, Yakov Karasik

Let $F$ be an algebraically closed field of characteristic zero and let $G$ be a finite group. We consider graded Verbally prime $T$ -ideals in the free $G$ -graded algebra. It turns…

math.RA2015★ 9 cited

The Polynomial Part of the Codimension Growth of Affine PI Algebras

Eli Aljadeff, Geoffrey Janssens, Yakov Karasik

Let $F$ be a field of characteristic zero and $W$ be an associative affine $F$ -algebra satisfying a polynomial identity (PI). The codimension sequence associated to $W$ , $c_{n} (W)$ ,…

math.RA2015★ 27 cited

Kemer's Theorem for Affine PI Algebras Over a Field of Characteristic Zero

Eli Aljadeff, Alexei Kanel-Belov, Yakov Karasik

We present a proof of Kemer's representability theorem for affine PI algebras over a field of characteristic zero.

Semisimple Algebras and PI-Invariants of Finite Dimensional Algebras

On generic G-graded Azumaya algebras

Division algebras graded by a finite group

Verbally prime T-ideals and graded division algebras

The Polynomial Part of the Codimension Growth of Affine PI Algebras

Kemer's Theorem for Affine PI Algebras Over a Field of Characteristic Zero

On generic $G$ -graded Azumaya algebras