Zobrazeno 1 - 10
of 92
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 S.
Publikováno v:
In Linear Algebra and Its Applications 15 February 2019 563:287-301