POLYNOMIAL IDENTITIES OF FINITE DIMENSIONAL SIMPLE ALGEBRAS

Let F be an algebraically closed field and let A and B be arbitrary finite dimensional simple algebras over F. We prove that A and B are isomorphic if and only if they satisfy the same identities.

Spaces of compact operators on C(2(m) circle plus [0, alpha]) spaces

We classify up to isomorphism the spaces of compact operators K(E, F), where E and F are Banach spaces of all continuous functions defined on the compact spaces 2(m) circle plus [0, alpha], the topological sum of Cantor cubes 2(m) and the intervals of ordinal numbers [0, alpha]. More precisely, we prove that if 2(m) and aleph(gamma) are not real-valued measurable cardinals and n >= aleph(0) is not sequential cardinal, then for every ordinals xi, eta, lambda and mu with xi >= omega(1), eta >= omega(1), lambda = mu < omega or lambda, mu is an element of [omega(gamma), omega(gamma+1)[, the following statements are equivalent: (a) K(C(2(m) circle plus [0, lambda]), C(2(n) circle plus [0, xi])) and K(C(2(m) circle plus [0, mu]), C(2(n) circle plus [0, eta]) are isomorphic. (b) Either C([0, xi]) is isomorphic to C([0, eta] or C([0, xi]) is isomorphic to C([0, alpha p]) and C([0, eta]) is isomorphic to C([0,alpha q]) for some regular cardinal alpha and finite ordinals p not equal q. Thus, it is relatively consistent with ZFC that this result furnishes a complete isomorphic classification of these spaces of compact operators. (C) 2010 Elsevier Inc. All rights reserved.

CLASSIFICATION OF SUBALGEBRAS OF THE CAYLEY ALGEBRA OVER A FINITE FIELD

We classify all unital subalgebras of the Cayley algebra O(q) over the finite field F(q), q = p(n). We obtain the number of subalgebras of each type and prove that all isomorphic subalgebras are conjugate with respect to the automorphism group of O(q). We also determine the structure of the Moufang loops associated with each subalgebra of O(q).

Cantor-Bernstein Sextuples for Banach Spaces

Let X and Y be Banach spaces isomorphic to complemented subspaces of each other with supplements A and B. In 1996, W. T. Gowers solved the Schroeder-Bernstein (or Cantor-Bernstein) problem for Banach spaces by showing that X is not necessarily isomorphic to Y. In this paper, we obtain a necessary and sufficient condition on the sextuples (p, q, r, s, u, v) in N with p + q >= 1, r + s >= 1 and u, v is an element of N*, to provide that X is isomorphic to Y, whenever these spaces satisfy the following decomposition scheme A(u) similar to X(P) circle plus Y(q) B(v) similar to X(r) circle plus Y(s). Namely, Phi = (p - u)(s - v) - (q + u)(r + v) is different from zero and Phi divides p + q and r + s. These sextuples are called Cantor-Bernstein sextuples for Banach spaces. The simplest case (1, 0, 0, 1, 1, 1) indicates the well-known Pelczynski`s decomposition method in Banach space. On the other hand, by interchanging some Banach spaces in the above decomposition scheme, refinements of the Schroeder-Bernstein problem become evident.

Classification of the virtually cyclic subgroups of the pure braid groups of the projective plane

We classify the ( finite and infinite) virtually cyclic subgroups of the pure braid groups P(n)(RP(2)) of the projective plane. The maximal finite subgroups of P(n)(RP(2)) are isomorphic to the quaternion group of order 8 if n = 3, and to Z(4) if n >= 4. Further, for all n >= 3, the following groups are, up to isomorphism, the infinite virtually cyclic subgroups of P(n)(RP(2)): Z, Z(2) x Z and the amalgamated product Z(4)*(Z2)Z(4).

Boutet de Monvel`s calculus and groupoids I

Can Boutet de Monvel`s algebra on a compact manifold with boundary be obtained as the algebra Psi(0)(G) of pseudodifferential operators on some Lie groupoid G? If it could, the kernel G of the principal symbol homomorphism would be isomorphic to the groupoid C*-algebra C*(G). While the answer to the above question remains open, we exhibit in this paper a groupoid G such that C*(G) possesses an ideal I isomorphic to G. In fact, we prove first that G similar or equal to Psi circle times K with the C*-algebra Psi generated by the zero order pseudodifferential operators on the boundary and the algebra K of compact operators. As both Psi circle times K and I are extensions of C(S*Y) circle times K by K (S*Y is the co-sphere bundle over the boundary) we infer from a theorem by Voiculescu that both are isomorphic.

Incerteza e estratégias miméticas - um estudo sobre isomorfismo estrutural entre 'internet start-ups' no Brasil

Esta pesquisa visa investigar o fenômeno dos novos empreendimentos (start-ups) ligados à internet no contexto brasileiro, tendo como base teórica a corrente neoinstitucionalista e a hipótese que as empresas brasileiras de internet apresentam um comportamento mimético em relação aos pioneiros do setor, nos EUA e no Brasil, como uma estratégia de legitimação visando a captação de recursos face à incerteza dominante neste setor. Para atingir este objetivo são empregados tanto métodos qualitativos (entrevistas) quanto métodos quantitativos (questionários e tratamento estatístico) apoiados de uma revisão bibliográfica detalhada.

Isomorfismo e cerimonialismo em gestão empresarial: pesquisa empírica sobre a difusão de certificações ISO-9000 no Brasil

Esta pesquisa analisa a difusão das certificações ISO-9000 no Brasil sob o prisma da teoria neo-institucional e de referências sobre modismos gerenciais nas organizações. A premissa é de que muitas dessas decisões de certificação - que se tornou muito popular nas empresas brasileiras desde 1990 - só podem ser entendidas plenamente à luz de sua natureza modal e institucionalizada, e que muitas desses processos podem refletir adoções cerimoniais (isto é "para inglês ver"). Através de questionários aplicados em empresas que buscaram a certificação ISO no Brasil, o estudo procura entender melhor fatores ligados à tomada de decisão sobre a adoção, à estratégia de implantação, aos resultados percebidos e aos mecanismos de justificação dos programas.

A formação do campo da saúde suplementar no Brasil

The aim of the present study is to analyze the evolution of the historical and institutional elements that generate the current design of the private health market in Brazil. Its main theoretical basis is the Theory of the Symbolic Power, by Pierre Bourdieu, complemented, in the non-conflictive aspects of these two visions, by the Anthony Giddens¿ institutional vision on the field genesis motivational factors. The research¿ data were collected through documents and semi structured interviews during 2002 e 2003 period, involving the qualitative analyze due to understand the field¿s phenomena under an actors¿ perspective. The research identifies the several players that integrate the market, their evident strategic goals, and those that are not so, besides of the powers¿ resources used to reach them, by DiMaggio and Powell¿ vision. Thus, it tries to show, through a historic linear description, and emphasis in the determinant facts, the evolution of the market¿s constitution. The study demonstrates that the field had formed from several Estate¿ actions, basically after the past seventy¿ decade, as result of a alternative Government¿ strategy towards a Brazilian population¿s dissemination plan of health¿ services that enforced the institutionalization of isomorphic structures, with a strong internal interaction and a hierarchy between kinds of values, that had emphasized the health¿ symbol as a citizenship¿s value. In the end, the study estimates that the crescent longevity¿ Brazilian¿s population and the consequent work¿s dismiss may cause a private health¿ elitism conforming a future problem in this sensible segment of the social politics of the Brazilian government.

Estruturação e processos isomórficos do campo organizacional de alambiques de cachaça artesanal em Bananal - SP

This work tries to comprehend, throw the prism of the Institutional Theory, the structural process of organizational field of cachaça¿s handicraft producers¿ from a Brazilian countryside region. The role of values and traditions on the determination of the structure and decision making on this industry are analyzed. It is necessary to research historic, economic and social facts, and confront them to the formation of Brazilian society to understand the field¿s formulation. An important aspect of this research is the mapping of isomorphic process and the comparison of the field¿s institutional degree, before and after the changes. It was noticed that the alteration on perception of Cachaça in the national market and the entrance of a new actor oriented by functional rationality are the major reasons for the mimetic changes on this field. As a contribution, this study confirms the applicability of Institutional Theory on analysis of specific fields and shows how this field has structured itself.

Da irrelevância do mercado relevante: economistas, teoria econômica e política antitruste no Brasil

O objetivo desta dissertação é analisar a construção social da política antitruste no Brasil, focando no papel dos economistas e de suas teorias na prática organizacional do Conselho Administrativo de Defesa Econômica (CADE). Com base na sociologia econômica contemporânea, a pesquisa traça um histórico institucional da política e do órgão antitruste argumentando que o conhecimento econômico, ao ser utilizado e institucionalizado na prática organizacional da agência, tornou as decisões jurídicas uma questão econômica e acabou construindo uma poderosa ferramenta de performatividade da teoria econômica. A dissertação busca realçar o processo político performativo de economicização implícito na construção isomórfica de políticas econômicas.

Informatização da operação e da gestão de uma unidade de saúde de alta complexidade do sistema único de saúde (SUS): estudo de caso do instituto de medicina integral Prof. Fernando Figueira (Imip) sob o enfoque do isomorfismo institucional

O trabalho buscou identificar e avaliar a escolha do Imip à luz da teoria neoinstitucional, mediante os mecanismos isomórficos que caracterizam o campo das organizações de saúde. Trata-se de um estudo de caso, tendo o Imip como objeto de análise, voltado especificamente para dois modelos de informatização da operação e da gestão, a fim de verificar qual o mais adequado para as especificidades da instituição, incluindo o aspecto financeiro, custo/benefício. O primeiro modelo se refere a um sistema próprio de informatização; o segundo a um modelo de sistema de gestão já existente, comercializado por empresa especializada nesta tecnologia. A metodologia abrangeu pesquisas bibliográficas, documentais e de campo. O referencial teórico foi a teoria neoinstitucional e o trabalho de campo constou de uma pesquisa incluindo observação simples, visando compor variáveis dos dois modelos avaliados, e coleta de dados realizada por meio da aplicação de dois questionários: um questionário aberto, com os dirigentes do Imip, e um questionário misto, com cem colaboradores, utilizadores do sistema, escolhidos aleatoriamente, por sorteio. Entre os achados se identificou claras referências ao isomorfismo, principalmente o mimético, nas percepções dos indivíduos respondentes. Ao final da pesquisa, foi possível concluir que a contratação de um sistema de gestão hospitalar, já existente no mercado, concebido e comercializado por empresa de tecnologia especializada no segmento da saúde, justificou-se como a melhor escolha para a organização, pois, as semelhanças existentes entre os processos do Instituto e aqueles contidos no sistema eram muito mais relevantes que suas particularidades. Outro fator relevante levou em consideração os elevados custos para uma única instituição desenvolver e manter sozinha um sistema atualizado segundo as exigências normativas e técnicas necessárias às organizações de saúde e os padrões de qualidade da informação estabelecidos pelo SUS.

Sheaves, local homeomorphisms and local sets as Hilbert locale modules

We give a thorough account of the various equivalent notions for \sheaf" on a locale, namely the separated and complete presheaves, the local home- omorphisms, and the local sets, and to provide a new approach based on quantale modules whereby we see that sheaves can be identi¯ed with certain Hilbert modules in the sense of Paseka. This formulation provides us with an interesting category that has immediate meaningful relations to those of sheaves, local homeomorphisms and local sets. The concept of B-set (local set over the locale B) present in [3] is seen as a simetric idempotent matrix with entries on B, and a map of B-sets as de¯ned in [8] is shown to be also a matrix satisfying some conditions. This gives us useful tools that permit the algebraic manipulation of B-sets. The main result is to show that the existing notions of \sheaf" on a locale B are also equivalent to a new concept what we call a Hilbert module with an Hilbert base. These modules are the projective modules since they are the image of a free module by a idempotent automorphism On the ¯rst chapter, we recall some well known results about partially ordered sets and lattices. On chapter two we introduce the category of Sup-lattices, and the cate- gory of locales, Loc. We describe the adjunction between this category and the category Top of topological spaces whose restriction to spacial locales give us a duality between this category and the category of sober spaces. We ¯nish this chapter with the de¯nitions of module over a quantale and Hilbert Module. Chapter three concerns with various equivalent notions namely: sheaves of sets, local homeomorphisms and local sets (projection matrices with entries on a locale). We ¯nish giving a direct algebraic proof that each local set is isomorphic to a complete local set, whose rows correspond to the singletons. On chapter four we de¯ne B-locale, study open maps and local homeo- morphims. The main new result is on the ¯fth chapter where we de¯ne the Hilbert modules and Hilbert modules with an Hilbert and show this latter concept is equivalent to the previous notions of sheaf over a locale.

Modelo institucional do processo de estruturação de empresas de desenvolvimento de software: um estudo de múltiplos casos

Some authors have shown the need of understanding the technological structuring process in contemporary firms. From this perspective, the software industry is a very important element because it provides products and services directly to many organizations from many fields. In this case, the Brazilian software industry has some peculiarities that distinguish it from other industries located in developed countries, which makes its understanding even more relevant. There is evidence that local firms take different strategies and structural configurations to enter into a market naturally dominated by large multinational firms. Therefore, this study aims to understand not only the structural configurations assumed by domestic firms but also the dynamic and the process that lead to these different configurations. To do so, this PhD dissertation investigates the institutional environment, its entities and the isomorphic movements, by employing an exploratory, descriptive and explanatory multiple cases study. Eight software development companies from the Recife's information technology Cluster were visited. Also, a form was applied and an interview with one of the main firm s professional was conducted. Although the study is predominantly qualitative, part of the data was analyzed through charts and graphs, providing a companies and environment overview that was very useful to analysis done through the interviews interpretation. As a result, it was realized that companies are structured around hybrids business models from two ideal types of software development companies, which are: software factory and technology-based company. Regarding the development process, it was found that there is a balanced distribution between the traditional and agile development paradigm. Among the traditional methodologies, the Rational Unified Process (RUP) is predominant. The Scrum is the most used methodology among the organizations based on the Agile Manifesto's principles. Regarding the structuring process, each institutional entity acts in such way that generates different isomorphic pressure. Emphasis was given to entities such as customers, research agencies, clusters, market-leading businesses, public universities, incubators, software industry organizations, technology vendors, development tool suppliers and manager s school and background because they relate themselves in a close way with the software firms. About this relationship, a dual and bilateral influence was found. Finally, the structuring level of the organizational field has been also identified as low, which gives a chance to organizational actors of acting independently

Coevolução e as práticas isomórficas de gestão: um estudo sobre os processos de mudanças institucionais no Instituto Federal de Educação, Ciência e Tecnologia do RN

The Federal Institution for Education, Science and Technology, in its historical path, has been living different changes. The transformations occurred along the way have been determined by coercive forces from the institutional environment, which has became more and more broad and complex throughout the time, obtaining diverse characteristics and new elements such as non institutional factors1 which started to contribute with the other changes. In this context, this work aims to study the isomorphic practices of the managers in the institutional changes process of the IFRN in 1998 and 2008, as of a theoretical coevolutionary perspective (CHILD; RODRIGUES; LEWIN; CARROL; VOLBERDA, 2003). This theory brings a new point of view for the organization analysis to the organizational studies, since it offers a non deterministic and non linear lection of the evolution process, which means, a coevolution. Thus, the organizations and their institutional and non institutional environment auto evolve, auto organize and auto reproduce. Therefore, the institutional and non institutional factors of the macro environment keep a continuous interdependence relationship with the organizations. For the means of this study, it is important to understand that is impossible to comprehend the object, the isomorphic practices, without considering that the previous institutional changes and its evolutions, its continuations and discontinuations, important in the coevolution process. As such, to call upon the institutional historical track is a fundamental aspect to materialize this study, for the recursive movement is indeed present in the coevolution. Another important point to make this research effective is that it is not possible to abdicate from the hologramatic view2 of this study, which considers the object, the isomorphic practices, part of the whole and this whole is also in the parts, therefore it is impossible to comprehend the object of study outside the context where it belongs. With this, as of the objective previously proposed, it is necessary to describe the characteristics of coevolution of the institutional changes related in 1998 and 2008; analyze the dynamic of the isomorphic mechanisms in its respective institutional change process; and describe the lessons learned which the isomorphic practices left to the IFRN, regarding its benefits and difficulties. All these transformations happened through coercive forces3 of the institutional environment. As of the Nineties, these forces became stronger, the environment became broader and more complex, with the emergency of new environmental factors. This study proposed to study the managing process and its practices, related to the micro environment, although it is required to articulate these actions, the demands and requirements from the macro environment. To make this research effective, semi structured interviews have been conducted with the managers who participated in both institutional change processes. In the results analysis, it has been possible to verify the particularity of each change, the one from 1998 with a strong normative action of the managers against coercive forces from the government for the search of recognition and the institutional legitimation and the one in 2008, which has been characterized by the normative action by managers in agreement with the coercive forces from the government, in favor of the government policy for the technological professional education. However, the results analysis it is possible to notice the evidence of a belonging feeling from the interviewed managers