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Faithful Representations of Free Products [PDF]

Journal of the London Mathematical Society, 1997
Let \((R_\alpha)_{\alpha\in\Lambda}\) be a family of domains of the same characteristic \(p\geq 0\). Let \((G_\alpha)_{\alpha\in\Lambda}\) be a family of matrix groups, \(G_\alpha\leq\text{GL}(n,R_\alpha)\), of the same degree \(n\geq 1\). The paper shows that the free product \(*_\alpha G_\alpha\) has a faithful representation of degree \(n+1\) over ...
Minty, John
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Faithful Representation of a Family of Sets by a Set of Intervals

SIAM Journal on Computing, 1975
Let $Q = \{ q_1 ,q_2 , \cdots ,q_m \} $ be a family of finite, nonempty sets, and $S = \cup_{q_i \in Q} \{ q_i \} $.
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Faithful Representations of Finitely Generated Metabelian Groups [PDF]

Canadian Journal of Mathematics, 1975
In [3] Remeslennikov proves that a finitely generated metabelian group G has a faithful representation of finite degree over some field F of characteristic zero (respectively, p > 0) if its derived group G’ is torsion-free (respectively, of exponent p).
B. A. F. Wehrfritz
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Faithful Shape Representation for 2D Gaussian Mixtures

2007 IEEE International Conference on Image Processing, 2007
It has been recently discovered that a faithful representation for the shape of some simple distributions can be constructed using invariant statistics [1,2]. In this paper, we consider the more general case of a Gaussian mixture model. We show that the shape of generic Gaussian mixtures can be represented without any loss by the distribution of the ...
Mireille Boutin, Mary Comer
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Faithful representations of left C*-modules

Rendiconti del Circolo Matematico di Palermo, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
TRAPANI, Camillo, TRIOLO, Salvatore
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Faithful Representations of Lie Algebras

The Annals of Mathematics, 1949
The object of this paper is to give a new proof of the theorem that every Lie algebra over a field K of characteristic zero, has a faithful representation. The first proof of this result, at least when K is algebraically closed, is due to Ado (1). Later Cartan (2) gave a simpler and entirely different proof for the case when K is the field of either ...
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Epistemic representation, informativeness and the aim of faithful representation

Synthese, 2012
In this paper, I take scientific models to be epistemic representations of their target systems. I define an epistemic representation to be a tool for gaining information about its target system and argue that a vehicle’s capacity to provide specific information about its target system—its informativeness—is an essential feature of this kind of ...
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Faithful representation of nonmonotonic patterns of inference

Minds and Machines, 1992
Recently, John Bell has proposed that a specific conditional logic, C, be considered as a serious candidate for formally representing and faithfully capturing various (possibly all) formalized notions of nonmonotonic inference. The purpose of the present paper is to develop evaluative criteria for critically assessing such claims.
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Representations of Rings with Faithful Monoform Modules

Journal of the London Mathematical Society, 1984
Cet article a la même motivation que celle d'un article précédent de l'A. [Commun. Algebra 9, 23-45 (1981; Zbl 0469.16004)], à savoir l'étude d'une classe d'anneaux caractérisés par un théorème de densité analogue au théorème de densité de Jacobson. Un anneau R est dit anneau m-dense de transformations linéaires si c'est un sous- anneau de l'anneau des
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