P. Koshlukov

activity

20122026

most citedGroup gradings on the Jordan algebra of upper triangular matrices

15 citations · 50 across the 25 of their papers we have counts for

collaborators

27 papers

math.RA2026

Identities and isomorphisms of finite graded matrix algebras

Diogo Diniz, Daniela Martinez Correa, Dimas José Gonçalves +1

Let $F$ be a finite field and let $G$ be a group such that every finite subgroup of $G$ is cyclic. In this paper we classify the division gradings by cyclic groups on matr…

math.RA2026

Graded identities of the first Weyl algebra and its generalizations

V. Futorny, P. Koshlukov, J. Schwarz

We study the graded polynomial identities of the first Weyl algebra $W_{1}$ over an infinite field. The algebra $W_{1}$ satisfies no ordinary polynomial identities in characteristic 0.…

math.RA2026

Primeness property for regular gradings

Lucio Centrone, Claudemir Fideles, Plamen Koshlukov +1

Let $K$ be an algebraically closed field of characteristic $0$ and $G$ a finite abelian group. For a $G$ -graded $K$ -algebra $A$ , we define the primeness property for graded central…

math.RA2025

On infinite dimensional algebras with regular gradings

Lucio Centrone, Plamen Koshlukov, Kauê Pereira

Let $G$ be a finite abelian group and let $K$ be an algebraically closed field of characteristic 0. We consider associative unital algebras $A$ over $K$ graded by $G$ , that is $A=\…

math.RA2025

On finite dimensional regular gradings

Lucio Centrone, Plamen Koshlukov, Kauê Pereira

Let $A$ be an associative algebra over an algebraically closed field $K$ of characteristic 0. A decomposition $A = A_{1} \oplus \dots \oplus A_{r}$ of $A$ into a direct sum of $r$ vector…

math.RA2024

Gradings, graded identities, $$ -identities and graded $$ -identities of an algebra of upper triangular matrices

Jonatan Andres Gomez Parada, Plamen Koshlukov

Let $K ⟨ X ⟩$ be the free associative algebra freely generated over the field $K$ by the countable set $X = {x_{1}, x_{2}, \dots}$ . If $A$ is an associative $K$ -algebra,…

Identities and isomorphisms of finite graded matrix algebras

Graded identities of the first Weyl algebra and its generalizations

Primeness property for regular gradings

On infinite dimensional algebras with regular gradings

On finite dimensional regular gradings

Gradings, graded identities, ∗-identities and graded ∗-identities of an algebra of upper triangular matrices

Gradings, graded identities, $$ -identities and graded $$ -identities of an algebra of upper triangular matrices