M. Gargate

most citedInvolutions on Incidence Algebras of Finite Posets

4 citations · 8 across the 8 of their papers we have counts for

collaborators

8 papers

math.RA2020

$(k + 1)$ -potent Matrices in triangular matrix Groups and Incidence Algebras of Finite Posets

Ivan Gargate, Michael Gargate

Let $K$ be a field such that $c ha r (K) ∤ k$ and $c ha r (K) ∤ k + 1$ . We describe all $(k + 1)$ -potent matrices over the group of upper triangular matrix.…

math.CO2020

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 $F$ whit prescribed eigenvalues. Using this formula we obtain one inequality f…

math.GM2020

How to construct a upper triangular matrix that satisfy the quadratic polynomial equation with different roots

Ivan Gargate, Michael Gargate

Let $R$ be an associative ring with identity $1$ . We describe all matrices in $T_{n} (R)$ the ring of $n \times n$ upper triangular matrices over $R$ ( $n \in N$ ), and $T_{\inft…

math.RA2020★ 2 cited

Coninvolutions on Upper Triangular Matrix Group over the Ring of Gaussian Integers and Quaternions integers modulo $p$

Ivan Gargate, Michael Gargate

In this article we give various formulates for compute the number of all coninvolutions over the group of upper triangular matrix with entries into the ring of Gaussian integers mo…

math.RA2020

Expressing Matrices Into Products of Commutators of Involutions, Skew-Involutions, Finite Order and Skew Finite Order Matrices

Ivan Italo Gonzales Gargate, Michael Santos Gonzales Gargate

Let $R$ be an associative ring with unity $1$ and consider that $2, k$ and $2 k \in N$ are invertible in $R$ . For $m \geq 1$ denote by $U T_{n} (m, R)$ and $U T_{\infty} (m, R)$ , the…

math.RA2020★ 1 cited

Expressing Finite-Infinite Matrices Into Products of Commutators of Finite Order Elements

Ivan Gargate, Michael Gargate

Let $R$ be an associative ring with unity $1$ and consider $k \in N$ such that $1 + 1 + .. + 1 = k$ is invertible. Denote by $ω$ an arbitrary kth root of unity in $R$ and let $UT^{…

(k+1)-potent Matrices in triangular matrix Groups and Incidence Algebras of Finite Posets

Counting Elements on Full Matrix Groups over Finite Field with Prescribed Eigenvalues

How to construct a upper triangular matrix that satisfy the quadratic polynomial equation with different roots

Coninvolutions on Upper Triangular Matrix Group over the Ring of Gaussian Integers and Quaternions integers modulo p

Expressing Matrices Into Products of Commutators of Involutions, Skew-Involutions, Finite Order and Skew Finite Order Matrices

Expressing Finite-Infinite Matrices Into Products of Commutators of Finite Order Elements

$(k + 1)$ -potent Matrices in triangular matrix Groups and Incidence Algebras of Finite Posets

Coninvolutions on Upper Triangular Matrix Group over the Ring of Gaussian Integers and Quaternions integers modulo $p$