3 papers
math.RA2026
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…
math.RA2025
Polynomial Identities and Codimensions of Certain Three-Dimensional Metabelian Non-Lie Leibniz Algebras
Luis Fertunani, Claudemir Fideles, Airton Muniz
Over an arbitrary field, we conduct a comprehensive study of the polynomial identities and codimensions of two- and three-dimensional metabelian non-Lie Leibniz algebras. In additi…
math.RA2025
Embedding theorems as a bridge between supertraces and supergeometry
Charles Almeida, Lucio Centrone, Claudemir Fideles
Any algebra herein is intended over a field of characteristic 0. Let denote the infinite dimensional Grassman algebra. Given a power associative finite dimensional {$\mathbb{Z}…