P. Koshlukov

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20242026

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math.RA2026

On finite dimensional regular gradings

Lucio Centrone, Plamen Koshlukov, KauÃª 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.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, KauÃª 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.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,…

math.RA2024

Graded Identities for the Adjoont Representation of $s l_{2}$

CÃ¡ssia F. Sampaio, Plamen E. Koshlukov

Let $K$ be a field of characteristic zero and let $sl_{2} (K)$ be the 3-dimensional simple Lie algebra over $K$ . In this paper we describe a finite basis for the $\mathbb{…

math.RA2024

A negative answer to a Bahturin-Regev conjecture about regular algebras in positive characteristic

Lucio Centrone, Plamen Koshlukov, KauÃª Pereira

Let $A = A_{1} \oplus \dots \oplus A_{r}$ be a decomposition of the algebra $A$ as a direct sum of vector subspaces. If for every choice of the indices $1 \leq i_{j} \leq r$ there exist $a_{i_j}…

On finite dimensional regular gradings

Primeness property for regular gradings

On infinite dimensional algebras with regular gradings

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

Graded Identities for the Adjoont Representation of sl2​

A negative answer to a Bahturin-Regev conjecture about regular algebras in positive characteristic

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

Graded Identities for the Adjoont Representation of $s l_{2}$