7 citations · 10 across the 4 of their papers we have counts for
5 papers · 1 filter
Identities and isomorphisms of finite graded matrix algebras
Diogo Diniz, Daniela Martinez Correa, Dimas José Gonçalves +1
Let be a finite field and let be a group such that every finite subgroup of is cyclic. In this paper we classify the division gradings by cyclic groups on matr…
Polynomial identities of finite prime Universal algebras
Yuri Bahturin, Daniela Martinez Correa, Diogo Diniz +1
We prove that two finite prime -algebras defined over the same unital commutative ring and satisfying the same set of polynomial identities are isomorphic.
On the asymptotic behaviour of the graded-star-codimension sequence of upper triangular matrices
Diogo Diniz, Felipe Yukihide Yasumura
We study the algebra of upper triangular matrices endowed with a group grading and a homogeneous involution over an infinite field. We compute the asymptotic behaviour of its (grad…
-Graded Identities for the Tensor Square of the Grassmann Algebra
Diogo Diniz Pereira da Silva e Silva
We consider the algebra over an infinite field equipped with a -grading where the canonical basis is homogeneous and prove that in various cases the grad…
On the Graded Identities for Elementary Gradings in Matrix Algebras over Infinite Fields
Diogo Diniz Pereira da Silva e Silva
We find a basis for the -graded identities of the matrix algebra over an infinite field of characteristic with an elementary grading such that the…