D. Gonçalves

activity

20122026

most citedLimit T-subspaces and the central polynomials in n variables of the Grassmann algebra

2 citations · 4 across the 5 of their papers we have counts for

collaborators

6 papers

math.RA2026

Identities and isomorphisms of finite graded matrix algebras

Diogo Diniz, Daniela Martinez Correa, Dimas José Gonçalves +1

Let $F$ be a finite field and let $G$ be a group such that every finite subgroup of $G$ is cyclic. In this paper we classify the division gradings by cyclic groups on matr…

math.RA2021

On the ideals of ultragraph Leavitt path algebras

T. T. H. Duyen, D. ~Gonçalves, T. G. Nam

In this article, we provide an explicit description of a set of generators for any ideal of an ultragraph Leavitt path algebra. We provide several additional consequences of this d…

math.RA2020★ 1 cited

$Z_{2}$ -graded polynomial identities for the Jordan algebra of $2 \times 2$ upper triangular matrices

Dimas J. Gonçalves, Mateus E. Salomão

Let $K$ be a field (finite or infinite) of char $(K) \neq = 2$ and let $U T_{n} = U T_{n} (K)$ be the $n \times n$ upper triangular matrix algebra over $K$ . If $\cdot$ is the usual product on $…

math.RA2020

Polynomial identities with involution for the algebra of 3 $\times$ 3 upper triangular matrices

Dimas J. Gonçalves, Dalton C. Silva

Let $F$ be a field of characteristic $p$ , and let $U T_{n} (F)$ be the algebra of $n \times n$ upper triangular matrices over $F$ with an involution of the f…

math.RA2014★ 1 cited

Minimal Varieties and Identities of Relatively Free Algebras

Dimas José Gonçalves, Thiago Castilho de Mello

Let $K$ be a field of characteristic zero and let $M_{5}$ be the variety of associative algebras over $K$ , defined by the identity $[x_{1}, x_{2}] [x_{3}, x_{4}, x_{5}]$ . It is well-kno…

math.RA2012★ 2 cited

Limit T-subspaces and the central polynomials in n variables of the Grassmann algebra

Dimas José Gonçalves, Alexei Krasilnikov, Irina Sviridova

Let F<X> be the free unitary associative algebra over a field F on the set X = {x_1, x_2, ...}. A vector subspace V of F<X> is called a T-subspace (or a T-space) if V is closed und…