61 resultados para Associative Algebras With Polynomial Identities
Resumo:
This paper discusses perceptions and experiences of impairment and disability from the perspectives of learning disabled children, their parents and their social workers. The author reports on findings from her doctoral study that adults often fail to take into account the views and experiences of learning disabled chidren. As a result, these children developed their own interpretations of impairment and disability based on their experiences and interactions with others. Whilst this indicates that they are active social interpreters, it also suggests that adults should make greater efforts to inform and consult learning disabled children. The author concludes by reflecting on the relevance of these findings to contemporary theories of disability and childhood.
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We investigate the group valued functor G(D) = D*/F*D' where D is a division algebra with center F and D' the commutator subgroup of D*. We show that G has the most important functorial properties of the reduced Whitehead group SK1. We then establish a fundamental connection between this group, its residue version, and relative value group when D is a Henselian division algebra. The structure of G(D) turns out to carry significant information about the arithmetic of D. Along these lines, we employ G(D) to compute the group SK1(D). As an application, we obtain theorems of reduced K-theory which require heavy machinery, as simple examples of our method.
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Abstract In the theory of central simple algebras, often we are dealing with abelian groups which arise from the kernel or co-kernel of functors which respect transfer maps (for example K-functors). Since a central simple algebra splits and the functors above are “trivial” in the split case, one can prove certain calculus on these functors. The common examples are kernel or co-kernel of the maps Ki(F)?Ki(D), where Ki are Quillen K-groups, D is a division algebra and F its center, or the homotopy fiber arising from the long exact sequence of above map, or the reduced Whitehead group SK1. In this note we introduce an abstract functor over the category of Azumaya algebras which covers all the functors mentioned above and prove the usual calculus for it. This, for example, immediately shows that K-theory of an Azumaya algebra over a local ring is “almost” the same as K-theory of the base ring. The main result is to prove that reduced K-theory of an Azumaya algebra over a Henselian ring coincides with reduced K-theory of its residue central simple algebra. The note ends with some calculation trying to determine the homotopy fibers mentioned above.
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In the area of child care policy and practice, the benefits for children who are separated from their birth parents of maintaining some form of connection with their family of origin is now widely accepted. The arguments in support of this are found mainly in research concerning adoption and stem from four inter-related themes: children's rights to know of their heritage and background; parents' rights to information about the well-being of their children; the benefits of having knowledge about origins; and concerns about the impact of not knowing. The effects on the developing identities of those who, for various reasons, are unlikely ever to know the details of their birth parent(s) is an under-researched issue. Karen Winter and Olivia Cohen use a case study to illustrate some of the gaps concerning knowledge in this area. They argue that there is much to be learnt from the development of research projects which have as their focus the accounts of children and young people, from a wide range of care arrangements, regarding identity issues where they have no connections with or knowledge about their birth parent(s).
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The multiplicative spectrum of a complex Banach space X is the class K(X) of all (automatically compact and Hausdorff) topological spaces appearing as spectra of Banach algebras (X,*) for all possible continuous multiplications on X turning X into a commutative associative complex algebra with the unity. The properties of the multiplicative spectrum are studied. In particular, we show that K(X^n) consists of countable compact spaces with at most n non-isolated points for any separable hereditarily indecomposable Banach space X. We prove that K(C[0,1]) coincides with the class of all metrizable compact spaces.
Resumo:
Consideration was given to means of increasing the reliability and muscle specificity of paired associative stimulation (PAS) by utilising the phenomenon of crossed-facilitation. Eight participants completed three separate sessions: isometric flexor contractions of the left wrist at 20% of maximum voluntary contraction (MVC) simultaneously with PAS (20s intervals; 14 min duration) delivered at the right median nerve and left primary motor cortex (MI); isometric contractions at 20% of MVC: and PAS only ( 14 min). Eight further participants completed two sessions of longer duration PAS (28 min): either alone or in conjunction with flexion contractions of the left wrist. Thirty motor potentials (MEPs) were evoked in the right flexor (rFCR) and extensor (rECR) carpi radialis muscles by magnetic stimulation of left M1 Prior to the interventions, immediately post-intervention, and 10 min post-intervention. Both 14 and 28 min of combined PAS and (left wrist flexion) contractions resulted in reliable increases in rFCR MEP amplitude, which were not present in rECR. In the PAS only conditions, 14 min of stimulation gave rise to unreliable increases in MEP amplitudes in rFCR and rECR, whereas 28 min of PAS induced small (unreliable) changes only for rFCR. These results support the conclusion that changes in the excitability of the corticospinal pathway induced by PAS interact with those associated with contraction of the muscles ipsilateral to the site of cortical stimulation. Furthermore, focal contractions applied by the opposite limb increase the extent and muscle specificity of the induced changes in excitability associated with PAS. (C) 2008 Elsevier Ireland Ltd. All rights reserved.
Resumo:
The tailpipe emissions from automotive engines have been subject to steadily reducing legislative limits. This reduction has been achieved through the addition of sub-systems to the basic four-stroke engine which thereby increases its complexity. To ensure the entire system functions correctly, each system and / or sub-systems needs to be continuously monitored for the presence of any faults or malfunctions. This is a requirement detailed within the On-Board Diagnostic (OBD) legislation. To date, a physical model approach has been adopted by me automotive industry for the monitoring requirement of OBD legislation. However, this approach has restrictions from the available knowledge base and computational load required. A neural network technique incorporating Multivariant Statistical Process Control (MSPC) has been proposed as an alternative method of building interrelationships between the measured variables and monitoring the correct operation of the engine. Building upon earlier work for steady state fault detection, this paper details the use of non-linear models based on an Auto-associate Neural Network (ANN) for fault detection under transient engine operation. The theory and use of the technique is shown in this paper with the application to the detection of air leaks within the inlet manifold system of a modern gasoline engine whilst operated on a pseudo-drive cycle. Copyright © 2007 by ASME.
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This article examines the complex interactions between British national identity and the territorial identities of Northern Ireland and Scotland. We argue that the current literature on national identities in Britain misunderstands the nature of British identities in Northern Ireland and Scotland. Indeed, much of this literature wrongly defines Unionists in both of these areas. By examining the content of British national identity, a comparison of Scotland and Northern Ireland reveals that Unionism finds political significance through an ideological project committed to the Union. However, we also have to account for the differences in the Unionist ideology of Scotland and Northern Ireland. We argue that the institutional framework in which these identities and ideologies are exercised explains this variation. Overall, we argue that the debate on nationalism in the United Kingdom has not adequately shown how the integrative functions of British national identity can co-exist with the separatist nature of territorial national identity.
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In the paper we give an exposition of the major results concerning the relation between first order cohomology of Banach algebras of operators on a Banach space with coefficients in specified modules and the geometry of the underlying Banach space. In particular we shall compare the properties weak amenability and amenability for Banach algebras A(X), the approximable operators on a Banach space X. Whereas amenability is a local property of the Banach space X, weak amenability is often the consequence of properties of large scale geometry.
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Internationally, the gender relations of the family farming ‘way of life’ have beenshown to be stubbornly persistent in their adherence to patriarchal inheritancepractices. This article demonstrates how such ‘agri-cultural’ practices are situated bothwithin the subjective sphere of farming individuals’ and within global agri-economics,bringing new challenges to patrilineal farm survival. It is suggested here that the recenttendency for post-structuralist theorisation in rural studies has underestimated theexistence and impact of patrilineal patterns in family farming. Such patterns mean thatwomen are shown to largely occupy relational gender identities as the ‘helper’, whilstmen are strongly identified as the ‘farmer’. Drawing on repeated life-history interviewsconducted with farming men and women from Powys, Mid Wales, the aim of thisarticle is to generate debate as to the extent to which men can be brought into feministresearch practice in order to reveal patriarchy to a greater degree. The article begins bysituating the near-exclusion of men from feminist research practice within theoreticaldevelopments in feminist geography. This discussion also assists in deriving issues ofresearch methods, positionality and interpretive power which focus the integration ofempirical material in the methodological reflections provided in section three. In sectiontwo, the rationale for the epistemological stance taken in the research is provided. Thearticle provides an example of the successful integration of men into a feminist researchframe, suggests avenues for theoretical development and identifies future researchdirections which can be informed by ‘doing it with men’.
Keywords: epistemology; family farming; feminist res
Resumo:
Background: Drug scenes within several countries have changed in recent years to incorporate a range of licit psychoactive products, collectively known as “legal highs.” Hundreds of different legal high products have been described in the literature. Many of these products contain synthetic stimulants that allegedly
“mirror” the effects of some illicit drugs. In 2009–2010, growing concern by the UK and Irish governments focused on mephedrone, a synthetic stimulant that had become embedded within several drug scenes in Britain and Ireland. In April 2010, mephedrone and related cathinone derivatives were banned under
the UK’s Misuse of Drugs Act 1971. Setting aside “worse case scenarios” that have been portrayed by UK and Irish media, little is known about mephedrone use from the consumer’s perspective. The purpose of this paper was to (1) explore respondents’ experiences with mephedrone, (2) examine users’ perceptions
about the safety of mephedrone, and primarily to (3) examine sources of mephedrone supply during the pre- and post-ban periods.
Methods: Semi-structured interviews were conducted with 23 adults who had used mephedrone during 2009–2010. Data collection occurred in May and June 2010, following the ban on mephedrone. A total of 20/23 respondents had used mephedrone during the post-ban period, and the vast majority had prior
experience with ecstasy or cocaine. Respondents’ ages ranged from 19 to 51, approximately half of the sample were female and the majority (19 of 23) were employed in full- or part-time work.
Results: Most respondents reported positive experiences with mephedrone, and for some, the substance emerged as a drug of choice. None of the respondents reported that the once-legal status of mephedrone implied that it was safe to use. Very few respondents reported purchasing mephedrone from street-based
or on-line headshops during the pre-ban period, and these decisions were guided in part by respondents’ attempts to avoid “drug user” identities. Most respondents purchased or obtained mephedrone from friends or dealers, and mephedrone was widely available during the 10-week period following the ban. Respondents reported a greater reliance on dealers and a change in mephedrone packaging following the criminalisation of mephedrone.
Conclusion: The findings are discussed in the context of what appears to be a rapidly changing mephedrone market. We discuss the possible implications of criminalising mephedrone, including the potential displacement effects and the development of an illicit market.
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This paper investigates social comparisons in people with schizophrenia. Stigma theories often suggest that people with stigmatized conditions face a chronic threat to self-esteem and that they respond to this in a variety of ways, one of which is by using ingroup downward comparisons. We analysed the spontaneous social comparisons used by, participants in semi-structured interviews. A wide range of comparison dimensions, target others, and groupings were used, most of which did not represent a category of people with schizophrenia in more negative terms than those without the illness. Participants presented themselves positively, referring to downward and lateral comparisons more often than upward comparisons. In addition, although downward comparisons did refer to people with schizophrenia, they were more likely to refer to others who did not have schizophrenia, and to dimensions which were not related to mental illness. It is suggested that investigations of the relations between stigma and self need to take account of the multiple identities and dimensions of comparisons available to people for construing themselves and the social context. Copyright (C) 2001 John Wiley & Sons, Ltd.
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We present and analyze an algorithm to measure the structural similarity of generalized trees, a new graph class which includes rooted trees. For this, we represent structural properties of graphs as strings and define the similarity of two Graphs as optimal alignments of the corresponding property stings. We prove that the obtained graph similarity measures are so called Backward similarity measures. From this we find that the time complexity of our algorithm is polynomial and, hence, significantly better than the time complexity of classical graph similarity methods based on isomorphic relations. (c) 2006 Elsevier Inc. All rights reserved.
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The reduced Whitehead group $\SK$ of a graded division algebra graded by a torsion-free abelian group is studied. It is observed that the computations here are much more straightforward than in the non-graded setting. Bridges to the ungraded case are then established by the following two theorems: It is proved that $\SK$ of a tame valued division algebra over a henselian field coincides with $\SK$ of its associated graded division algebra. Furthermore, it is shown that $\SK$ of a graded division algebra is isomorphic to $\SK$ of its quotient division algebra. The first theorem gives the established formulas for the reduced Whitehead group of certain valued division algebras in a unified manner, whereas the latter theorem covers the stability of reduced Whitehead groups, and also describes $\SK$ for generic abelian crossed products.
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The reduced unitary Whitehead group $\SK$ of a graded division algebra equipped with a unitary involution (i.e., an involution of the second kind) and graded by a torsion-free abelian group is studied. It is shown that calculations in the graded setting are much simpler than their nongraded counterparts. The bridge to the non-graded case is established by proving that the unitary $\SK$ of a tame valued division algebra wih a unitary involution over a henselian field coincides with the unitary $\SK$ of its associated graded division algebra. As a consequence, the graded approach allows us not only to recover results available in the literature with substantially easier proofs, but also to calculate the unitary $\SK$ for much wider classes of division algebras over henselian fields.