Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Fagundes, Pedro"'
Autor:
Fagundes, Pedro
Let $F$ be an algebraically closed field of characteristic different from $2$. We show that the images of multilinear $*$-polynomials on $UT_2$ are homogeneous vector spaces. An analogous result holds for $UT_3$ endowed with non-trivial grading. We f
Externí odkaz:
http://arxiv.org/abs/2309.13437
Autor:
Fagundes, Pedro, Koshlukov, Plamen
Let $A=B+C$ be an associative algebra graded by a group $G$, which is a sum of two homogeneous subalgebras $B$ and $C$. We prove that if $B$ is an ideal of $A$, and both $B$ and $C$ satisfy graded polynomial identities, then the same happens for the
Externí odkaz:
http://arxiv.org/abs/2307.06112
Autor:
Fagundes, Pedro, Koshlukov, Plamen
In this paper we study the images of multilinear graded polynomials on the graded algebra of upper triangular matrices UT_n. For positive integers q \leq n, we classify these images on UT_n endowed with a particular elementary Z_q-grading. As a conse
Externí odkaz:
http://arxiv.org/abs/2205.10698
Publikováno v:
Turkish Journal of Mathematics: Vol. 46: No. 5, Article 11, 2022
The well-known Lvov-Kaplansky conjecture states that the image of a multilinear polynomial $f$ evaluated on $n\times n$ matrices is a vector space. A weaker version of this conjecture, known as the Mesyan conjecture, states that if $m=deg( f)$ and $n
Externí odkaz:
http://arxiv.org/abs/2111.13698
Publikováno v:
In Journal of Algebra 1 June 2024 647:584-618
Autor:
Fagundes, Pedro
Publikováno v:
In Journal of Algebra 15 April 2024 644:730-748
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Publikováno v:
Operators and Matrices, 13, No. 1 (2019), 283--292
We describe the images of multilinear polynomials of degree up to four on the upper triangular matrix algebra.
Externí odkaz:
http://arxiv.org/abs/1807.09421
Autor:
Fagundes, Pedro S.
The purpose of this paper is to describe the images of multilinear polynomials of arbitrary degree on the strictly upper triangular matrix algebra.
Externí odkaz:
http://arxiv.org/abs/1807.09136
Autor:
Fagundes, Pedro Luiz
Não disponível
The purpose of this works is to present some reIationship between the ciclic and the branched coverings of Iinks. We focus attention on k-splitabIe and qsimple links, proving that the homology of those coverings have special pro
The purpose of this works is to present some reIationship between the ciclic and the branched coverings of Iinks. We focus attention on k-splitabIe and qsimple links, proving that the homology of those coverings have special pro