On the homological properties of the universal enveloping Leibniz algebra

We presente a study of graded Leibniz algebras and its universal enveloping Leibniz algebra. We prove that the universal enveloping Leibniz algebra of a finite dimensional graded Leibniz algebra is a quasi-Koszul algebra or an inhomogeneous Koszul algebra. We presented an imersion of the derivation set of a Leibniz algebra with maximum lenght into the set of derivations of its universal enveloping Leibniz algebra to study the first homology group of those wild type associative algebras. We will follow Loday and Pirashvili's work and Green and Martinez-Villa's works. REFERENCES: - E.L. Green and R. Martinez-Villa, "Koszul and Yoneda algebras", Canadian Math. Soc. (1994), 18, 247-298. - E.L. Green and R. Martinez-Villa, "Koszul and Yoneda algebras", Canadian Math. Soc., (1998), 24, 227-244. - J--L. Loday and T. Pirashvili, Universal enveloping algebras of Leibniz algebras and (co)-homology, Math Ann. (1993), 296, 139-158

Factors affecting innovation revisited

El propósito de este trabajo es contribuir a un mejor conocimiento de los factores que afectan a la innovación mediante el análisis de los microdatos de la encuesta de innovación de las empresas españolas de 2003. El estudio se aborda desde la elaboración de una taxonomía de sectores combinando las Ventajas Tecnológicas Reveladas de la industria española con el dinamismo tecnológico mundial; además se introduce una clasificación de las empresas en función de la pertenencia o no a un grupo de empresas y de si esos grupos son de nacionalidad española o extranjera. Se utilizan técnicas de Análisis Factorial para reducir y organizar la abundante información disponible en Factores con significado económico que después son empleados como variables explicativas de la innovación de producto y de proceso. Se encuentran diferencias entre ambos tipos de innovación tanto por el número de factores significativos como en la intensidad de su capacidad explicativa. La taxonomía elaborada muestra su importancia al mostrar patrones de comportamiento distintos entre los cuatro tipos de casos construidos.The aim of this paper is to contribute to a better understanding of factors affecting innovation by analysing the Spanish manufacturing sector using microdata of the 2003 Spanish Innovation Survey. To enrich the analysis a self developed sectoral taxonomy is used coming from the combination of both of the sectoral Revealed Technological Advantages (RTA) and worldwide technological dynamism of the sectors; moreover firms are classified according to the type of capital ownership: independent companies, companies belonging to a national group and subsidiaries of multinational enterprises. The abundance and heterogeneity of variables advised us to use Factor analysis to reduce and organise the original variables into a number of consistent and theoretically significant factors. We found differences between product and process innovation, both in number of explicative variables (significant independent variables) and in relative effect of independent variables (even, in some cases, a sign change from product to process innovation). Taxonomy matters because of some differences in explanatory (independent) variables for each sector and model explanatory power differences between sectors, and, on the other hand, because of the “non significance” of some significant variables once we control by sectoral taxonomy.Innovation, Factors affecting innovation, Multinational enterprises, Sectoral taxonomies, Spain.

The Culture of The Economist. A Further Evidence of “The Economist” Index

This paper offers further evidence to “The Economist” index of economic power developed by Pujol (2003). The original index is composite by construction and it gives information about year 2000, comparing the results with year 1990. Also econometric evidence is offered. Testing the robustness of the ranking of selected countries obtained by Pujol’s index, this paper applies the same methodology to two specific years: 1995 and 2001. This paper tries to ascertain if the evolution of the ranking of countries among years 1990 and 2000 is not merely a chance. If the index is valid, it should work for any single year, reflecting the evolution of the power of each country during a chosen period of time. The number of times each country appears in tables and graphs of the different “The Economist” issues for year 1995 confirms the evolution of the index between 1990 and 2000. Data for year 2001 gives continuity and support to the ranking developed in year 2000. Then we verify that “The Economist” index as an easier and valid alternative to other traditional ways in order to reflect the relative economic and financial power of the different countries. In other words, the data analyzed from this magazine make sense, because at the end it gives the same information that the one obtained from other more traditional and sophisticated ways. In other words, that we call The cultural of The Economist workscomposite indexes, economic power

Walking inside the Potential Tax Evader's Mind

The classical Allingham-Sandmo-Yitzhaki model explains tax evasion behavior based on the probability of being discovered, the amount of the fine imposed and the level of risk aversion. Nonetheless, empirical studies show that the decision and the level of tax evasion depends also on non economic considerations, usually named as the "psychological costs" associated to tax evasion. We build a theoretical model of tax evasion including non monetary considerations. We propose an empirical study on the determinants of the psychological costs of tax evasion, based on the theoretical taxonomy proposed by Lagares (1994). Data come from a questionnaire filled by 781 university students. The dependent variable is the percentage of students considering acceptable to evade taxes. Using a binomial logit model we find that the justification of tax evasion is statistically related with: the presence of grievance in absolute terms (those who feel that taxes are too high; waste of public funds) and grievances in relative terms (the suspected level of tax evasion by others, those accepting black economy labor). The sense of duty and the level of solidarity are also relevant factors, but in a lesser extent.

Technology and the Generation of International Knowledge Spillovers. An Application to Spanish Manufacturing Firms

Technology is among firms ownership advantages explaining their internationalisation as, now for decades, the eclectic approach has highlighted. The debate about the positive versus negative effects that foreign capital generates in the host economy has gained a new relevance today insofar as, on the one hand, the concept of systems of innovation allows us to rethink the interaction with the domestic/recipient economies and, on the other, the increasing internationalisation of the technological activities of multinational companies (MNCs) introduces new forms of that interaction. Therefore, the possibility of generation of external effects by MNCs today demands a new reformulation of the problem. In this vein, one of the strengthening aspects commonly underlined is that foreign knowledge, not completely appropriable by the foreign firms, may spill over into domestic firms. However, since the findings of the empirical evidence are not fully confirmatory of the hypothesis, and taking into account the new conditions, this essay attempts to offer new light with research about the Spanish manufacturing firms. Two main issues are focused on this analysis. First, the importance of dynamics in the assessment of technological spillovers motivated by foreign direct investment (FDI), which is possible thanks to the availability of a panel data for manufacturing firms in Spain in the period 1991-1999. Second, the importance that technology may have for the generation of spillovers and to what extent the Pavitt taxonomy of industries is still useful for in depth analysis of such a learning process.Foreign capital, Foreign direct investment,Spanish manufacturing firms, Knowledge Spillovers

Towards a Taxonomy of Firms Engaged in International R&D Cooperation Programs: The Case of Spain in Eureka

El proceso innovador enfrenta una serie de fallos de mercado y por esta razón – y por ser considerado uno de los principales agentes del crecimiento económico en el mundo – un significativo número de políticas gubernamentales y supra-nacionales son diseñadas para promover el progreso tecnológico. En Europa la situación no podría ser diferente y la “Paradoja Europea” es utilizada como principal argumento para la implementación de iniciativas relacionadas a la innovación. Junto con estas políticas hay una creciente preocupación con su continua evaluación, teniendo como objetivo proveer feedbacks para la adaptación y adecuación de estos programas con las necesidades de los agentes involucrados. En este sentido, el presente paper desarrolla una evaluación de los impactos del Programa Eureka para el caso de las empresas españolas participantes en esta iniciativa y con proyectos concluidos entre los años 2000-2005 (a través de análisis de los informes finales de los proyectos). Un total de 77 empresas fueron abordadas con métodos cuantitativos (correlaciones, testes chi-cuadrado, análisis discriminante y análisis de cluster). Los resultados demuestran que la participación española en Eureka suele tener altos niveles de logros tecnológicos. Los logros comerciales parecen estar definidos por la calidad del funcionamiento del proyecto y por la capacidad de las empresas en explotar sus resultados en el mercado ya antes del fin del proyecto. Una tipología introductoria de los participantes es propuesta en 3 conglomerados: (1) Risky Innovators; (2) Inventors; y (3) Consistent Innovators.Innovation is a process that faces several “market failure” situations and for this reason – and for being considered one of the main drivers of economic growth throughout the world – a large number of governmental and supranational policies are designed to foster technological progress. In Europe this situation could not be any different and the “European Paradox” is used as the main argument for the implementation of innovation related initiatives. Along with these policies, there is an increasing concern with their continuous evaluation aiming at providing valuable feedback for these program’s adaptation and adequacy to the player’s needs. In this sense, this paper develops an evaluation of Eureka Programme’s impact for the case of Spanish companies participating in this initiative and that had projects finished in the period 2000-2005 (analysis performed through the information contained in Eureka’s Final Reports). A total of 77 firms were assessed through quantitative methods, namely correlations, chi-square tests, discriminant models and cluster analysis. Findings show that Spain participates in Eureka mainly through SMEs, and that the overall rate of technological achievements is impressively good. Commercial achievements seem to be influenced mainly by the quality of the project’s functioning and the capacity of firm’s exploiting results in the industry by the end of the project. A basic typology of participants is offered in which three clusters are built: (1) Risky Innovators; (2) Inventors; and (3) Consistent Innovators.Innovation Policy; Eureka Programme; Spanish Innovation System; R&D Collaboration, Políticas de Innovación; Programa Eureka; Sistema de Innovación Español; Colaboración en I+D.

An index of political support for decentralization: the Spanish case.

This paper presents a method to make measurable what was not: the discourses of politicians regarding decentralization. For this purpose, we develop a “matrix of arguments” and a set of indexes, and apply them to provide a snapshot of the politicians’ views on the “General Law of Budgetary Stability”, a landmark for the process of decentralization in Spain.political party, matrix of decentralization, arguments, index of decentralization.

Predicted rates of merging neutron stars in galaxies

In this work, we compute rates of merging neutron stars (MNS) in galaxies of different morphological type, as well as the cosmic MNS rate in a unitary volume of the Universe adopting different cosmological scenarios. Our aim is to provide predictions of kilonova rates for future observations both at low and high redshift. In the adopted galaxy models, we take into account the production of r-process elements either by MNS or core-collapse supernovae. In computing the MNS rates we adopt either a constant total time delay for merging (10 Myr) or a distribution function of such delays. Our main conclusions are: i) the observed present time MNS rate in our Galaxy is well reproduced either with a constant time delay or a distribution function $\propto t^{-1}$. The [Eu/Fe] vs. [Fe/H] relation in the Milky Way can be well reproduced with only MNS, if the time delay is short and constant. If the distribution function of delays is adopted, core-collapse supernovae as are also required. ii) The present time cosmic MNS rate can be well reproduced in any cosmological scenario, either pure luminosity evolution or a typical hierarchical one, and spirals are the main contributors to it. iii) The spirals are the major contributors to the cosmic MNS at all redshifts in hierarchical scenarios. In the pure luminosity evolution scenario, the spirals are the major contributors locally, whereas at high redshift ellipticals dominate. iv) The predicted cosmic MNS rate well agrees with the cosmic rate of short Gamma Ray Bursts if the distribution function of delays is adopted, in a cosmological hierarchical scenario observationally derived. v) Future observations of Kilonovae in ellipticals will allow to disentangle among constant or a distribution of time delays as well as among different cosmological scenarios