22 citations · 33 across the 11 of their papers we have counts for
11 papers
Sum of two strictly n-zero matrices
Ivan Gargate, Edgar Saenz
In this work we investigate when an Jordan matrix can be written as the sum of two strictly -zero matrices. In particular, we show that if is an algebra…
A new approach to the Lvov-Kaplansky conjecture through gradings
Ivan Gonzales Gargate, Thiago Castilho de Mello
In this paper we consider images of (ordinary) noncommutative polynomials on matrix algebras endowed with a graded structure. We give necessary and sufficient conditions to verify…
Images of multilinear polynomials on upper triangular matrices over infinite fields
Ivan Gonzales Gargate, Thiago Castilho de Mello
In this paper we prove that the image of multilinear polynomials evaluated on the algebra of upper triangular matrices over an infinite field equals …
-potent Matrices in triangular matrix Groups and Incidence Algebras of Finite Posets
Ivan Gargate, Michael Gargate
Let be a field such that and . We describe all -potent matrices over the group of upper triangular matrix.…
Counting Elements on Full Matrix Groups over Finite Field with Prescribed Eigenvalues
Ivan Gargate, Michael Gargate
In the present article we shown a formula to compute the number of all matrices over the finite field whit prescribed eigenvalues. Using this formula we obtain one inequality f…
How to construct a upper triangular matrix that satisfy the quadratic polynomial equation with different roots
Ivan Gargate, Michael Gargate
Let be an associative ring with identity . We describe all matrices in the ring of upper triangular matrices over (), and $T_{\inft…