Results 281 to 290 of about 251,092 (316)

Faithful representations of left C*-modules

Rendiconti del Circolo Matematico di Palermo, 2010
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TRAPANI, Camillo, TRIOLO, Salvatore
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Faithful Representation of Separable Distributions

Neural Computation, 1997
A geometric approach to data representation incorporating information theoretic ideas is presented. The task of finding a faithful representation, where the input distribution is evenly partitioned into regions of equal mass, is addressed. For input consisting of mixtures of statistically independent sources, we treat independent component analysis ...
Juan K. Lin, David G. Grier, Jack D. Cowan   +2 more
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Faithful Representations of Free Products

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 ...
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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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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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Faithful Representations of Finitely Generated Metabelian Groups

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).
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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 Representations of Semigroup Crossed Products by Endomorphisms

International Journal of Mathematics and Computer Science
Given a cyclically ordered free Abelian group G, a unital C^*-algebra A, and a semigroup homomorphism alpha from P(G) into the semigroup Endo(A), we characterize faithful representations of crossed product Ax_{alpha} P(G) by endomorphisms.
Rosjanuardi, Rizky, Gozali, Sumanang M., Albania, Imam N.   +2 more
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Faithful representations of Heisenberg Lie superalgebras

Journal of Algebra and Its Applications
Suppose the underlying field is an algebraically closed field of characteristic [Formula: see text] In this paper, we describe all the faithful irreducible representations of a Heisenberg Lie superalgebra. Moreover, we obtain the minimal dimension of the faithful representations of a Heisenberg Lie superalgebra.
Shuang Lang, Wende Liu, Jizhu Nan
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Financial statement relevance, representational faithfulness, and comparability

Review of Quantitative Finance and Accounting, 2023
Michael Neel, Irfan Safdar
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