967 resultados para Division algebras


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Let D be a division ring with center k, and let D-dagger be its multiplicative group. We investigate the existence of free groups in D-dagger, and free algebras and free group algebras in D. We also go through the case when D has an involution * and consider the existence of free symmetric and unitary pairs in D-dagger.

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This paper describes the background and methodology developed and employed in undertaking research developing a Knowledge Management Strategy for a key construction focused government agency. This paper reviews this methodology and examines a likely Knowledge Management Strategy. Two central objectives structure this Case Study: 1. Identify categories of important information generated by the Building Division, Queensland Department of Public Works in its service delivery to internal and external stake-holders, and 2. Formulate an appropriate and targeted Knowledge Management Strategy to meet the needs of the Queensland Building Capital Works program. The structure of this paper includes: *Description of the Queensland construction industry setting *Review the relevant literature *Design an appropriate research methodology *Analyse results *Formulate conclusions, contributions and implications of the targeted strategy.

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Since the 1980s the locus of manufacturing and some services have moved to countries of the Global South. Liberalization of trade and investment has added two billion people to world labour supply and brought workers everywhere into intense competition with each other. Under orthodox neoliberal and neoclassical approaches free trade and open investment should benefit all countries and lead to convergence. However considerable differences in wages and working hours exist between workers of the Global North and those of the Global South. The organising question for the thesis is why workers in different countries but the same industries get different wages. Empirical evidence reviewed in the thesis shows that productivity does not explain these wage differences and that workers in some parts of the South are more productive than workers in the North. Part of the thesis examines the usefulness of explanations drawn from Marxist, institutionalist and global commodity chain approaches. There is a long established argument in Marxist and neo-Marxist writings that differences between North and South result from imperialism and the exercise of power. This is the starting point to review ways of understanding divisions between workers as the outcome of a global class structure. In turn, a fault line is postulated between productive and unproductive labour that largely replicates the division between the Global North and the Global South. Workers and their organizations need shared actions if they are to resist global competition and wage disparities. Solidarity has been the clarion of progressive movements from the Internationals of the early C19th through to the current Global Unions and International Confederation of Trade Unions (ICTU). The thesis examines how nationalism and particular interests have undermined solidarity and reviews the major implications for current efforts to establish and advance a global labour position.

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The article focuses on the evidence-based information practice (EBIP) applied at the Auraria Library in Denver, Colorado during the reorganization of its technical services division. Collaboration processes were established for the technical services division through the reorganization and redefinition of workflows. There are several factors that form part of the redefinition of roles including personal interests, department needs, and library needs. A collaborative EBIP environment was created in the division by addressing issues of workplace hierarchies, by the distribution of problem solving, and by the encouragement of reflective dialogue.

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This project aimed to identify current Language Literacy and Numeracy (LLN) and Inclusive Teaching and Learning Practices in a TAFE Diploma of Nursing (Enrolled/Division 2 Nursing). The key purpose of the study was to make recommendations for improving inclusive teaching practice and learning outcomes of students and for reducing student attrition, thereby increasing the employability of graduates in the health industry subsequent to course completion.

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A fast iterative scheme based on the Newton method is described for finding the reciprocal of a finite segment p-adic numbers (Hensel code). The rate of generation of the reciprocal digits per step can be made quadratic or higher order by a proper choice of the starting value and the iterating function. The extension of this method to find the inverse transform of the Hensel code of a rational polynomial over a finite field is also indicated.

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It is well known that space-time block codes (STBCs) obtained from orthogonal designs (ODs) are single-symbol decodable (SSD) and from quasi-orthogonal designs (QODs) are double-symbol decodable (DSD). However, there are SSD codes that are not obtainable from ODs and DSD codes that are not obtainable from QODs. In this paper, a method of constructing g-symbol decodable (g-SD) STBCs using representations of Clifford algebras are presented which when specialized to g = 1, 2 gives SSD and DSD codes, respectively. For the number of transmit antennas 2(a) the rate (in complex symbols per channel use) of the g-SD codes presented in this paper is a+1-g/2(a-9). The maximum rate of the DSD STBCs from QODs reported in the literature is a/2(a-1) which is smaller than the rate a-1/2(a-2) of the DSD codes of this paper, for 2(a) transmit antennas. In particular, the reported DSD codes for 8 and 16 transmit antennas offer rates 1 and 3/4, respectively, whereas the known STBCs from QODs offer only 3/4 and 1/2, respectively. The construction of this paper is applicable for any number of transmit antennas. The diversity sum and diversity product of the new DSD codes are studied. It is shown that the diversity sum is larger than that of all known QODs and hence the new codes perform better than the comparable QODs at low signal-to-noise ratios (SNRs) for identical spectral efficiency. Simulation results for DSD codes at variousspectral efficiencies are provided.