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Description of the nikolskii-besov class decreasing its smoothness parameter using weak fractional derivatives
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 2013)
The Nikolskii-Besov spaces Bpqα(Rn)≡ Bpqα, 1≤ p, q≤∞, α and gt;0, recently were described using the Caputo's fractional derivative. Using the concept of weak fractional derivative, in this paper we reduces the characterization ...
On the connectedness of the spectrum of forcing algebras
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 2014-06-25)
We study the connectedness property of the spectrum of forcing algebras over a noetherian ring. In particular we present for an integral base ring a geometric criterion for connectedness in terms of horizontal and vertical ...
Definable group extensions and o-minimal group cohomology via spectral sequences
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 2013)
We provide the theoretical foundation for the Lyndon-Hochschild-Serre spectral sequence as a tool to study the group cohomology and with this the group extensions in the category of definable groups. We also present various ...
Gelfand-kirillov dimension of skew pbw extensions
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 2013)
Gelfand-Kirillov dimension of Poincaré-Birkhoff-Witt (PBW for short) extensions was established by Matczuk ([15], Theorem A). Since PBW extensions are a particular example of skew PBWextensions (also called σ-PBW extensions), ...
On the infinitude of prime elements
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 2013)
Let R be an infinite unique factorization domain with at most finitely many units. We discuss the infinitude of prime elements in R when R is arbitrary and when R satisfies the following property: if f and g are polynomials ...
Discrete model of a nonlocal diffusion equation
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 2013)
In this work we prove the existence and uniqueness of solutions as well as the validation of a comparison principle for a discrete model associated to a nonlocal diffusion problem with Neumann conditions. We show that the ...
Viaje del profesor juan horváth
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 1954)
Después de una permanencia de 3 afios entre nosotros, durante los cuales puso de presente una intensa actividad docente y la más exquisita cordialidad, con las cuales supo expresar el enorme contingente de sus conocimientos ...