10 citations · 30 across the 15 of their papers we have counts for
17 papers
A note on the geometry of certain classes of linear operators
Diogo Diniz, Anselmo Raposo
In this note we introduce a new technique to answer an issue posed in [7] concerning geometric properties of the set of non-surjective linear operators. We also extend and improve…
Superinvolutions on block-triangular matrix algebras
Laise Dias, Diogo Diniz, Alex Ramos
In this paper we classify, up to isomorphism, the superinvolutions on algebras of upper block-triangular matrices over an algebraically closed field of characteristic different fro…
Graded identities with involution for the algebra of upper triangular matrices
Diogo Diniz, Alex Ramos
Let be a field of characteristic zero. We prove that if a group grading on admits a graded involution then this grading is a coarsening of a $\mathbb{Z}^{\lfloor\frac…
Spaceability of the sets of surjective and injective operators between sequence spaces
Diogo Diniz, Vinícius Fávaro, Daniel Pellegrino +1
We investigate algebraic structures within sets of surjective and injective linear operators between sequence spaces, completing results of Aron et al.
On the Number of Gradings on Matrix Algebras
Diogo Diniz, Daniel Pellegrino
We determine the number of isomorphism classes of elementary gradings by a finite group on an algebra of upper block-triangular matrices. As a consequence we prove that, for a fini…
Graded monomial identities and almost non-degenerate gradings on matrices
Lucio Centrone, Diogo Diniz, Thiago Castilho de Mello
Let be a field of characteristic zero, be a group and be the algebra with a -grading. Bahturin and Drensky proved that if is an elementary and the neutr…