6 citations · 15 across the 22 of their papers we have counts for
5 papers · 1 filter
On the trace identities of 2-dimensional tr-prime algebras over a finite field
Lucio Centrone, Rosiele Trindade Barbosa, Felipe Yasumura
We study associative algebras endowed with a trace map. We classify the two-dimensional trace-prime algebras over an arbitrary field. In addition, when the base field is finite, fo…
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 to admit a reg…
Images of polynomials with involution on matrices
Lucio Centrone, Thiago Castilho de Mello
Let be a field and let be the algebra of matrices endowed with an involution of the first kind. We study the image of multilinear -pol…
On Regular Quantum Commutative Algebras
Yuri Bahturin, Lucio Centrone, Kauê Pereira
Let be an algebraically closed field of characteristic different from . We provide a positive solution to the Bahturin--Regev conjecture in the general finite-dimensional (n…
Primeness property for regular gradings
Lucio Centrone, Claudemir Fideles, Plamen Koshlukov +1
Let be an algebraically closed field of characteristic and a finite abelian group. For a -graded -algebra , we define the primeness property for graded central…