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pro vyhledávání: '"Gargate, Michael"'
Autor:
Gargate, Ivan, Gargate, Michael
Let $\mathbb{K}$ be a field such that $char(\mathbb{K})\nmid k$ and $char(\mathbb{K})\nmid k+1$. We describe all $(k+1)$-potent matrices over the group of upper triangular matrix. In the case that $\mathbb{K}$ is a finite field we show how to compute
Externí odkaz:
http://arxiv.org/abs/2009.04243
Autor:
Gargate, Ivan, Gargate, Michael
In the present article we shown a formula to compute the number of all matrices over the finite field $F$ whit prescribed eigenvalues. Using this formula we obtain one inequality for the number of $(k+1)$-potent elements over finite rings.
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Externí odkaz:
http://arxiv.org/abs/2008.13568
Autor:
Gargate, Ivan, Gargate, Michael
Let $R$ be an associative ring with identity $1$. We describe all matrices in $T_n(R)$ the ring of $n\times n$ upper triangular matrices over $R$ ($n\in \mathbb{N}$), and $T_{\infty}(R)$ the ring of infinite upper triangular matrices over $R$, satisf
Externí odkaz:
http://arxiv.org/abs/2008.11272
Autor:
Gargate, Ivan, Gargate, Michael
In this article we give various formulates for compute the number of all coninvolutions over the group of upper triangular matrix with entries into the ring of Gaussian integers module $p$ and the ring of Quaternions integers module $p$, with $p$ an
Externí odkaz:
http://arxiv.org/abs/2008.00575
Let $R$ be an associative ring with unity $1$ and consider that $2,k$ and $2k\in \mathbb{N}$ are invertible in $R$. For $m\geq 1$ denote by $UT_n(m,R)$ and $UT_{\infty}(m,R)$, the subgroups of $UT_n(R)$ and $UT_{\infty}(R)$ respectively, which have z
Externí odkaz:
http://arxiv.org/abs/2007.12305
Autor:
Gargate, Ivan, Gargate, Michael
We study sums of $k$-potent matrices. We show the conditions by which a complex matrix $A$ can be expressed as a sums of $k$-potent matrices. Also we obtain conditions by which a complex matrix $A$ can be expressed as a sum of finite order elements.
Externí odkaz:
http://arxiv.org/abs/2005.00601
Autor:
Gargate, Ivan, Gargate, Michael
Let $R$ be an associative ring with unity $1$ and consider $k\in \mathbb{N}$ such that $1+1+..+1=k$ is invertible. Denote by $\omega$ an arbitrary kth root of unity in $R$ and let $UT^{(k)}_{\infty}(R)$ be the group of upper triangular infinite matri
Externí odkaz:
http://arxiv.org/abs/2004.09012
Autor:
Gargate, Ivan, Gargate, Michael
We give various formulas to compute the number of all involutions, i.e. elements of order 2, in an incidence algebra $I(X,\mathbb{K})$, where $X$ is a finite poset (star, Y and Rhombuses) and $\mathbb{K}$ is a finite field of characteristic different
Externí odkaz:
http://arxiv.org/abs/1907.06805
Autor:
Gargate, Michael, Jardim, Marcos
Publikováno v:
Int. J. Math. 27 (2016), 1640006 [18 pages]
We prove that the singular locus of a rank 2 instanton sheaf $E$ on $\mathbb{P}^3$ which is not locally free has pure dimension 1. Moreover, we also show that the dual and double dual of $E$ are isomorphic locally free instanton sheaves, and that the
Externí odkaz:
http://arxiv.org/abs/1407.0897
Publikováno v:
Biblioteca Digital de Teses e Dissertações da Universidade Estadual de Campinas (UNICAMP)
Universidade Estadual de Campinas (UNICAMP)
instacron:UNICAMP
Universidade Estadual de Campinas (UNICAMP)
instacron:UNICAMP
Orientador: Marcos Benevenuto Jardim Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica Resumo: Nesta tese estudamos o conjunto singular de feixes instanton sobre o espaco projetivo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f63083e4f08f896a06762e824821c90b
https://doi.org/10.47749/t/unicamp.2014.922973
https://doi.org/10.47749/t/unicamp.2014.922973