2 papers
math.RA2026
On homogeneous involutions on matrix algebras
Micael Said Garcia, Cassia Ferreira Sampaio
We study the homogeneous involutions on the full square matrices over an algebraically closed field endowed with a division grading with commutative support. We obtain the classifi…
math.RA2024
Graded polynomial identities of the infinite-dimensional upper triangular matrices over an arbitrary field
Micael Said Garcia, Felipe Yukihide Yasumura
We compute the graded polynomial identities of the infinite dimensional upper triangular matrix algebra over an arbitrary field. If the grading group is finite, we prove that the s…