K. Pereira

activity

20242026

collaborators

6 papers

math.RA2026

Quantum regularity of finite dimensional semisimple algebras

Yuri Bahturin, Lucio Centrone, Kauê Pereira

In this paper, we establish a necessary and sufficient criterion for a finite-dimensional semisimple algebra over an algebraically closed field of characteristic $0$ to admit a reg…

math.RA2026

On Regular Quantum Commutative Algebras

Yuri Bahturin, Lucio Centrone, KauÃª Pereira

Let $K$ be an algebraically closed field of characteristic different from $2$ . We provide a positive solution to the Bahturin--Regev conjecture in the general finite-dimensional (n…

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

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}…