I. Gargate

most citedInvolutions on Incidence Algebras of Finite Posets

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

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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.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^{…

math.RA2020★ 1 cited

Sums Of K-potent Matrices

Ivan Gargate, Michael Gargate

We study sums of $k$ -potent matrices. We show the conditions by which a complex matrix $A$ can be expressed as a sums of $k$ -potent matrices. Also we obtain conditions by which a c…

math.RA2019★ 4 cited

Involutions on Incidence Algebras of Finite Posets

Ivan Gargate, Michael Gargate

We give various formulas to compute the number of all involutions, i.e. elements of order 2, in an incidence algebra $I (X, K)$ , where $X$ is a finite poset (star, Y and Rho…

(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

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

Sums Of K-potent Matrices

Involutions on Incidence Algebras of Finite Posets

$(k + 1)$ -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 $p$