Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Filho, A. C. Souza"'
Autor:
Costa, G. H. S., Filho, A. C. Souza
In this article we present set of infinite natural numbers which satisfies the conjecture $3n+1$.
Comment: The article is written in format of a report
Comment: The article is written in format of a report
Externí odkaz:
http://arxiv.org/abs/1608.01418
A conjecture due to Zassenhaus asserts that if $\ G$ is a finite group then any torsion unit in $\mathbb{Z}G$ is conjugate in $\mathbb{Q}G$ to an element of $\ G$. We present a weaker form of this conjecture for some infinite groups.
Comment: Ke
Comment: Ke
Externí odkaz:
http://arxiv.org/abs/1210.1879
Autor:
Juriaans, S. O., Filho, A. C. Souza
In \cite{jpsf} we constructed pairs of units $u,v$ in $\Z$-orders of a quaternion algebra over $\Q (\sqrt{-d})$, $d \equiv 7 \pmod 8$ positive and square free, such that $< u^ n,v^n>$ is free for some $n\in \mathbb{N}$. Here we extend this result to
Externí odkaz:
http://arxiv.org/abs/0901.1977
In 1996 Jespers and Wang classified finite semigroups whose integral semigroup ring has finitely many units. In a recent paper, Iwaki-Juriaans-Souza Filho continued this line of research by partially classifying the finite semigroups whose rational s
Externí odkaz:
http://arxiv.org/abs/0810.4569
We investigate the structure of an alternative finite dimensional $\Q$-algebra $\mathfrak{A}$ subject to the condition that for a $\Z$-order $\Gamma \subset \mathfrak{A}$, and thus for every $\Z$-order of $\mathfrak{A}$, the loop of units of $\U (\Ga
Externí odkaz:
http://arxiv.org/abs/0810.4544
We Classify the rational quadratic extensions K and the finite groups G for which the group ring R[G] of G over the ring R of integers of K has the property that the group of units of augmentation 1 of R[G] is hyperbolic. We also construct units in a
Externí odkaz:
http://arxiv.org/abs/0709.2161
Let $A$ be a finite dimensional $Q-$algebra and $\Gamma subset A$ a $Z-$order. We classify those $A$ with the property that $Z^2$ does not embed in $\mathcal{U}(\Gamma)$. We call this last property the hyperbolic property. We apply this in the case t
Externí odkaz:
http://arxiv.org/abs/0704.2248
Autor:
Juriaans, S. O., Filho, A. C. Souza
We classify the finite semigroups S, for which all the Z-orders O of the rational Q-algebra QS, is such that the unit group U(O) is hyperbolic. We also classify the RA-loops L, for which the unit loop U(ZL) does not contain any free abelian subgroup
Externí odkaz:
http://arxiv.org/abs/math/0610701
Publikováno v:
Mathematics of Computation, 2015 May 01. 84(293), 1489-1520.
Externí odkaz:
https://www.jstor.org/stable/24488899
Publikováno v:
Proceedings of the Indian Academy of Sciences: Mathematical Sciences; Feb2009, Vol. 119 Issue 1, p9-22, 14p, 1 Chart