Universidade Federal de Campina Grande

output

20032026

most citedSciPy 1.0--Fundamental Algorithms for Scientific Computing in Python

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16 papers · 1 filter

math.RA2024★ 1 cited

On the asymptotic behaviour of the graded-star-codimension sequence of upper triangular matrices

Diogo Diniz, Felipe Yukihide Yasumura

We study the algebra of upper triangular matrices endowed with a group grading and a homogeneous involution over an infinite field. We compute the asymptotic behaviour of its (grad…

math.RA2021★ 6 cited

$Z$ -graded identities of the Lie algebras $U_{1}$ in characteristic 2

Claudemir Fidelis, Plamen Koshlukov

Let $K$ be any field of characteristic two and let $U_{1}$ and $W_{1}$ be the Lie algebras of the derivations of the algebra of Laurent polynomials $K [t, t^{- 1}]$ and of the polynomial…

math.RA2021

A note on $Z$ -gradings on the Grassmann algebra and Elementary Number Theory

Alan Guimarães, Claudemir Fidelis, Plamen Koshlukov

Let $E$ be the Grassmann algebra of an infinite dimensional vector space $L$ over a field of characteristic zero. In this paper, we study the $Z$ -gradings on $E$ having th…

math.RA2020

2-graded polynomial identities for the Jordan algebra of the symmetric matrices of order two

Plamen Koshlukov, Diogo Diniz P. S. Silva

The Jordan algebra of the symmetric matrices of order two over a field $K$ has two natural gradings by $Z_{2}$ , the cyclic group of order 2. We describe the graded polynomia…

math.RA2020

$Z$ -gradings of full support on the Grassmann algebra

Alan Guimarães, Antonio Brandão, Claudemir Fidelis

Let $E$ be the infinite dimensional Grassmann algebra over a field $F$ of characteristic zero. In this paper we investigate the structures of $Z$ -gradings on $E$ of full s…

math.RA2020★ 45 cited

Derivations of group rings

Orest D. Artemovych, Victor A. Bovdi, Mohamed A. Salim

Let R[G] be the group ring of a group G over an associative ring R with unity such that all prime divisors of orders of elements of G are invertible in R. If R is finite and G is a…

On the asymptotic behaviour of the graded-star-codimension sequence of upper triangular matrices

Z-graded identities of the Lie algebras U1​ in characteristic 2

A note on Z-gradings on the Grassmann algebra and Elementary Number Theory

2-graded polynomial identities for the Jordan algebra of the symmetric matrices of order two

Z-gradings of full support on the Grassmann algebra

Derivations of group rings

$Z$ -graded identities of the Lie algebras $U_{1}$ in characteristic 2

A note on $Z$ -gradings on the Grassmann algebra and Elementary Number Theory

$Z$ -gradings of full support on the Grassmann algebra