Diogo Diniz Pereira da Silva e Silva

most citedOn the Graded Identities for Elementary Gradings in Matrix Algebras over Infinite Fields

7 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.RA2014

Central Polynomials with Involution of $M_{1, 1} (E)$

Diogo Diniz Pereira da Silva e Silva

Let $K$ be an infinite field of characteristic $\neq = 2$ . In this article we study the $*$ -space $C (R, *)$ of central polynomials with involution of the $K$ -algebra $R = M_{1, 1} (E)$ ,…

math.RA2014

Primeness property for central polynomials of verbally prime P.I. algebras

Diogo Diniz Pereira da Silva e Silva

Let $f$ and $g$ be two noncommutative polynomials in disjoint sets of variables. An algebra $A$ is verbally prime if whenever $f \cdot g$ is an identity for $A$ then either $f$ or $…

math.RA2014★ 7 cited

On the Graded Identities for Elementary Gradings in Matrix Algebras over Infinite Fields

Diogo Diniz Pereira da Silva e Silva

We find a basis for the $G$ -graded identities of the $n \times n$ matrix algebra $M_{n} (K)$ over an infinite field $K$ of characteristic $p > 0$ with an elementary grading such that the…

Central Polynomials with Involution of M1,1​(E)

Primeness property for central polynomials of verbally prime P.I. algebras

On the Graded Identities for Elementary Gradings in Matrix Algebras over Infinite Fields

Central Polynomials with Involution of $M_{1, 1} (E)$