Search results for " Algebra"

INTERNAL CROSSED MODULES AND PEIFFER CONDITION

2010

In this paper we show that in a homological category in the sense of F. Borceux and D. Bourn, the notion of an internal precrossed module corresponding to a star-multiplicative graph, in the sense of G. Janelidze, can be obtained by directly internalizing the usual axioms of a crossed module, via equivariance. We then exhibit some sufficient conditions on a homological category under which this notion coincides with the notion of an internal crossed module due to G. Janelidze. We show that this is the case for any category of distributive Omega(2)-groups, in particular for the categories of groups with operations in the sense of G. Orzech.

Discussion of “Three Simple Flumes for Flow Measurement in Open Channels” by Zohrab Samani

2018

In this paper the results on three simple flumes for flow measurements are discussed.

Simple flume with a central baffle

2016

Abstract In this paper the stage-discharge relationship of a flume with a central baffle is theoretically deduced using the Buckingham-Theorem of the dimensional analysis and the self-similarity theory. The new stage-discharge equation is calibrated by the measurements carried out by Peruginelli and Bonacci using a baffle having a given throat length and five different values of the contraction ratio. Finally, for a given throat length, a relationship linking the discharge with the upstream water depth, the contraction ratio and the contracted width is deduced.

Modeling of the Shear Connection Capacity of Hybrid Steel Trussed Composite Beams

2019

Hybrid Steel Trussed Composite Beams represent a technical solution in use in numerous countries since many years. They are able to join the advantages of prefabrication with those of cast in place structures: they are easy to manufacture, fast to realize, monolithic and with no need of formwork. The behavior of these beams has been recently topic of discussion in the scientific community because the knowledge both related to the reinforced concrete structures and that of composite constructions cannot be straightforwardly extended to this typology, which is intermediate between one and another technology. This paper provides a contribution towards a better understanding of the mechanism of…

Multiple point spaces of finite holomorphic maps

2016

Esta tesis trata sobre espacios múltiples de aplicaciones holomorfas finitas entre variedades complejas. Nuestro enfoque es el de la teoría de singularidades, y las aplicaciones serán consideradas bajo la relación de A-equivalencia, es decir, salvo cambios de coordenadas en partida y llegada. Nos centramos en relacionar propiedades de los espacios de puntos múltiples con propiedades como la A-estabilidad y la A-determinación finita. En generaEl trabajo está organizado de la siguiente manera: El Capítulo 1 contiene los fundamentos básicos necesarios para el resto del trabajo. En el Capítulo 2 definimos los espacios de puntos múltiples de una aplicación. Demostramos que solo hay una manera de…

Variable fractional Fourier processor: a simple implementation: erratum

1997

Noether’s International School in Modern Algebra

2020

Pavel Alexandrov and Heinz Hopf met for the first time in Gottingen in the spring of 1926, soon after Alexandrov departed from Blaricum. Hopf had recently taken his doctorate in Berlin under Ludwig Bieberbach and Erhard Schmidt, and his research interests differed sharply from Alexandrov’s work in general topology.

New Types of Jacobian-Free Approximate Riemann Solvers for Hyperbolic Systems

2017

We present recent advances in PVM (Polynomial Viscosity Matrix) methods based on internal approximations to the absolute value function. These solvers only require a bound on the maximum wave speed, so no spectral decomposition is needed. Moreover, they can be written in Jacobian-free form, in which only evaluations of the physical flux are used. This is particularly interesting when considering systems with complex Jacobians, as the relativistic magnetohydrodynamics (RMHD) equations. The proposed solvers have also been extended to the case of approximate DOT (Dumbser-Osher-Toro) methods, which can be regarded as simple and efficient approximations to the classical Osher-Solomon method. Som…

A Leibniz variety with almost polynomial growth

2005

Abstract Let F be a field of characteristic zero. In this paper we study the variety of Leibniz algebras V ˜ 1 defined by the identity y 1 ( y 2 y 3 ) ( y 4 y 5 ) ≡ 0 . We give a complete description of the space of multilinear identities in the language of Young diagrams through the representation theory of the symmetric group. As an outcome we show that the variety V ˜ 1 has almost polynomial growth, i.e., the sequence of codimensions of V ˜ 1 cannot be bounded by any polynomial function but any proper subvariety of V ˜ 1 as polynomial growth.

Liftings and extensions of operators in Brownian setting

2020

We investigate the operators T on a Hilbert space H which have 2-isometric liftings S with the property S ∗ S H ⊂ H . We show that such liftings are closely related to some extensions of T, which h...