L. Centrone

activity

20242026

collaborators

Showing math.RAShow all

9 papers · 1 filter

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

Images of polynomials with involution on $2 \times 2$ matrices

Lucio Centrone, Thiago Castilho de Mello

Let $F$ be a field and let $M_{2} (F)$ be the algebra of $2 \times 2$ matrices endowed with an involution of the first kind. We study the image of multilinear $*$ -pol…

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=\…

Quantum regularity of finite dimensional semisimple algebras

Images of polynomials with involution on 2×2 matrices

On Regular Quantum Commutative Algebras

On finite dimensional regular gradings

Primeness property for regular gradings

On infinite dimensional algebras with regular gradings

Images of polynomials with involution on $2 \times 2$ matrices