P. Koshlukov

collaborators

3 papers

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=\…