Finite-dimensional non-associative algebras and codimension growth

Let A be a (non-necessarily associative) finite-dimensional algebra over a field of characteristic zero. A quantitative estimate of the polynomial identities satisfied by A is achieved through the study of the asymptotics of the sequence of codimensions of A. It is well known that for such an algebra this sequence is exponentially bounded. Here we capture the exponential rate of growth of the sequence of codimensions for several classes of algebras including simple algebras with a special non-degenerate form, finite-dimensional Jordan or alternative algebras and many more. In all cases such rate of growth is integer and is explicitly related to the dimension of a subalgebra of A. One of the main tools of independent interest is the construction in the free non-associative algebra of multialternating polynomials satisfying special properties. (C) 2010 Elsevier Inc. All rights reserved.

Jordan Gradings on Associative Algebras

In this paper we apply the method of functional identities to the study of group gradings by an abelian group G on simple Jordan algebras, under very mild restrictions on the grading group or the base field of coefficients.

Nonhomogeneous subalgebras of Lie and special Jordan superalgebras

We consider polynomial identities satisfied by nonhomogeneous subalgebras of Lie and special Jordan superalgebras: we ignore the grading and regard the superalgebra as an ordinary algebra. The Lie case has been studied by Volichenko and Baranov: they found identities in degrees 3, 4 and 5 which imply all the identities in degrees <= 6. We simplify their identities in degree 5, and show that there are no new identities in degree 7. The Jordan case has not previously been studied: we find identities in degrees 3, 4, 5 and 6 which imply all the identities in degrees <= 6, and demonstrate the existence of further new identities in degree 7. our proofs depend on computer algebra: we use the representation theory of the symmetric group, the Hermite normal form of an integer matrix, the LLL algorithm for lattice basis reduction, and the Chinese remainder theorem. (C) 2009 Elsevier Inc. All rights reserved.

Varför ska man dölja det? : -en kvalitativ studie av identitet i förhållande till läs-och skrivsvårigheter

In schools today, we expect student performances and achievements to be exceptional. Having good reading and writing skills are essential if students want to excel at their school assignments. Students with reading and writing difficulties have to work much harder than their other classmates. Their having to work harder coupled with being teenagers and facing all the uncertainties which are present at that age, these students face the difficult task of trying to find out who they are and who they want to be. In other words, they try to create their own individual identities. This study investigates the experiences of students with reading and writing difficulties in their interactions with other students and school personnel, in different situations. The collection of data has been done through group interviews. Thirteen, 15 year old students participated in these interviews. Some of the factors which characterise a hermeneutic approach have helped to form the basis on which the study lies. A hermeneutic approach suggests that the data collected is sorted and analysed to enable the identification of differences and patterns. These patterns are arranged to give results that are subjective and which also show an interpretation of the data collected. The results show that students are more comfortable with their identities, when they are diagnosed or made aware that their performances in school are directly affected by their reading and writing difficulties. The study also shows that having reading and writing difficulties tells the students who they are but, at the same time, plays an important role in their interactions with other classmates and adults. The outcomes of these interactions greatly affect the formation of their identities. The way in which school personnel treat students is also shown to be of great importance.

Women of Substance : The Aspect of Education, Career and Female Identity in Pride and Prejudice and Bridget Jones's Diary

Although two hundred years separate Jane Austen and Helen Fielding and, subsequently, also their portrayals of society, the similarities outweigh the differences. When juxtaposing Pride and Prejudice and Bridget Jones’s Diary in the light of feminism it is evident that both books provide clear examples of the prevailing situation of women in each time and place. The aspects of the study, which are especially important today, show both the development and some degree of stagnation of women’s rights and identities.

Racial Conflict in the United States of America : A Deconstructive Perspective on Native Speaker by Changrae Lee

Written about the time of the Golden Venture incident, Chang-rae Lee’s Native Speaker makes a particular reference to that incident, whereby implying that particular immigrants, on the grounds of their racial identities, are mistreated and considered as aliens by some Americas. While some whites discriminate against immigrants, there is widespread ethnic tension between Korean Americans and African Americans. Significantly, racial conflict between Koreans and blacks and the racist attitude of some whites toward immigrants are mirrored in the relationship between the Korean-American protagonist Henry and his American wife Lelia. That is, due to their different racial identities they do not understand each other and they always argue. However, toward the end of the novel, Henry and Lelia come to understand each other. While ethnic conflict between Koreans and blacks and certain whites’ discriminatory attitudes toward immigrants is serious one, the novel suggests the unimportance of racial identity. In other words, the novel concludes that there is no discriminatory treatment of immigrants and, in fact, every one is a native Speaker in America. In the novel there is no message of how racial conflict could be resolved. However, this essay suggests that by investigating how the tension between Henry and Lelia is resolved, one could suggest a solution for the ethnicity problem in America and in real life.

Svensklärares arbete : om villkor för gymnasieskolans svenskämne

The aim of this didactic study is to understand the terms of work, education and teaching of Swedish in a period round 2000. The research questions focus on how teachers at upper secondary school in conversations describe and construct their work, values in society and school, structures of power and relation to time. With the help of tools related to story and storytelling, and by connecting the empirical material to a late modern society, I caninterpret and understand the description of their work. With the help of Pierre Bourdieu’s theory I can see how values, power and relation to time are expressed in different ways when teachers of Swedish talk about their work and education.The results show that when teacher talk about work in school is it related to ideals in a global economy. Decentralization and individualization get new meanings when those words are placed in school environment and activity. Effectiveness, flexibility and individualization are words related to economy and they seem to have an effect on education and subjects of Swedish. I can also understand teachers’ work when it is related to power and values on the educational field. I can see how a diffuse power acts on the field and how harmony is a dominant value and a term that influences teachers’ work. New terms also form new identities related to teaching. New terms form new subjects of Swedish that in time and practice will form newhabitus connected to subjects. I call it ämneskonceptionella habitus.

Mellan frihet och kontroll : Om läroplanskonstruktioner i svensk skola

The aim of this thesis is to explore how different competing discourses in the historical context of the Swedish education development have qualified and disqualified different constructions of national curriculum. How and after what kind of principles is the curriculum constructed? What qualify who are going to be recognized as the author and addressee of the curriculum? These key ques-tions of the study are discussed in the first part of the thesis. My point of depar-ture is that the curriculum can be understood as a relation between freedom and control. In an educational system this relationship reflects the problematic ten-sion between the external demands from an authoritative center and the local need to independently reflect over educational issues. How these concepts are defined by the prevailing social discourses affect specific relations and construc-tions of curricula as a steering tool and a producer of specific teacher identities. In this sense, I claim that curriculum is constructed in different ways depending on which of the didactic questions are emphasized and answered and who is judged as the legitimate author. Based on this, three models of curriculum con-struction are formulated; the content based, the result based and the process based. These models are subsequently used as an analytical tool to examine the historical development of Swedish national curricula. The second part of the thesis investigates the Swedish education system and the production of the national curriculum as a product of rival discourses. The historical investigation begins 1842 when the first state curriculum was issued and the inquiry concludes in 2008. The findings indicate that no one single con-struction has been totally dominant and that there has been an on-going discur-sive struggle between different alternative and opinions about what teachers must do and be.

Att leva och sälja sin dröm : Livsstilsföretagaren mellan familjeliv, marknadoch politisk retorik

Living and selling a dream: Lifestyle entrepreneurship in the intersection between family, market and political rhetoric The article focuses on lifestyle entrepreneurship, characterised by a balancing work between personal lifestyle motives and economic motives. It builds on a qualitative study of business owners who have realized a life dream of starting a countryside business in the tourism and hospitality industry in Sweden. Through the notion of ”balancing work”, the analysis focuses on the tension between a personal life sphere and a market. In particular, the analysis highlights how the notion of ”the life dream” emerges as a narrative practice of self-realization, simultaneously as it is offered as an experience product. The analysis demonstrates how the entrepreneurs balance between personal stories of togetherness and marketing practices, between images of right and wrong commodification, and between constraining working conditions and a popular image of the successful entrepreneur, reinforced by a political discourse on rural entrepreneurship. It is concluded that balancing work between personal identities and economic practices is a practice of valuation, offering new insights into working conditions and markets situated in the intersection between markets and personal life spheres.

För Sverige i framtiden : Bio-objektifiering av ny medicinsk teknologi

Taking Sweden into the future – Bio-objectification of new medical technology In this article, we analyze how contemporary discursive silences around new biotechnologies such as cybrids and induced pluripotent stem cells (iPSC), have been enabled by earlier policy processes in the area, e.g. boundary work around what is human and non-human, living and non-living, subject and object. The analysis of policy processes around xenotransplantations and the use of human embryonic stem cells, shows that the stem cells’ and xenografts’ “bio-identities” become stabilized through high expectations for the future, a lack of therapeutic possibilities and struggles over definitions of life. The policy processes around human embryonic stem cells and organs from other animals, are characterized by a normalization of certain understandings of ”life”, trust in scientific progress and it’s national financial potentials and a categorization of criticism as irrational. Through these “bio-objectification processes”, debate and decision making has been moved from a political and public context into ethical committees and research funding bodies. The article concludes by discussing consequences of this political non-handling of biomedical technologies and how these bioobjects could be re-politicized.

Den ofrånkomliga nationalismen

The necessary nationalism This article deals with the role of fictional narratives, especially the modern novel, in the formation of national identities. Naguib Mafouz’s Cairo trilogy is referred to as an example of how literature may both serve as the mirror image of national identities and as an agency in their formation. The sense of community attachment to a modern state is ”thinner” than to a family or traditional village and/or tribe, though no less vital. Drawing on Norbert Elias’s concept of ”survival unit,” Benedict Anderson’s ”imagined communities” and recent studies in the field of comparative literature by Gregory Jusdanis and Azade Seyhan, this article argues for the necessity of the nation – in spite of its unfavourable chauvinistic reputation. This contention is discussed in relation to recent literary developments in Turkey and recent debates on nationhood in a Swedish context.

« Moi d’ici, moi de là-bas » : La géographie imaginaire du roman Le Ventre de l’Atlantique de Fatou Diome

L’objectif de la présente étude est d’explorer la « géographie imaginaire » du roman Le Ventre de l’Atlantique, écrit par Fatou Diome. Le concept de la « géographie imaginaire » décrit les rapports de domination spatiale et la construction d’un « Autre », entièrement différent de « nous » (Saïd, 1980). Les deux pays du roman, la France et le Sénégal, sont analysés comme deux sphères inconciliables, associées aux oppositions comme nous – l’Autre, individualisme – collectivisme, rationalité - superstition. Deux images spatiales sont discutées dans ce mémoire: l’île Niodior au Sénégal et l‘océan Atlantique. L’isolation de l’île Niodior renforce la séparation en deux espaces opposés, alors que l’Atlantique constitue un élément parfois chargé de forces magiques, lié à la vie et à la mort. Evoquant l’idée d’hybridité, le roman montre également des espaces et des identités alternatifs, qui transgressent la structure coloniale.

Kvinnors och mäns återhämtning från psykisk ohälsa

The overall aim with this thesis is to describe and analyze women’s and men’s recovery processes. More specifically, the aim is to determine what women and men with experience of mental illness describe as contributing to the personal recovery process. The point of departure for the studies was 30 in-depth interviews conducted with 15 men and 15 women. The selection of interview subjects was limited to individuals who had been treated in 24-hour psychiatric care and diagnosed as having schizophrenia, psychosis, a personality disorder, or a bipolar disorder.   Four studies have been carried.  Study 1 was a baseline article that examined what people in recovery from mental illness outline as facilitating factors to their recovery. The results that emerged from that study indicated areas for further analysis to condense the understanding of the recovery process. In study 2 the similarities and the differences in recovery described by women and men were examined. In Study 3 women’s and men’s meaning-making with reference to severe mental illness facilitate the recovery process were studied. The forth study explored how peer-support contribute to women’s and men’s recovery from mental illness.   The results emphasize recovery from mental illness as a social process in which relationships play a key role in creating new identities beside the mental illness. For a majority of the participants meeting peers facilitated the recovery process. The participants described how peer support meant an end to isolation and became an arena for identification, connection, and being important to others. Throughout these recovery processes the impact of gender has been emphasized. The results from this thesis provide new insight into gender as an important factor in understanding the recovery processes. The results from the four studies emphasize the mental patient, the psychiatric interventions and the individual recovery strategies as being influenced by gender constructions.

Självet, rollerna och pågående koordinationer av mänskliga handlingar : Om att försöka se ’samhället’ som något annat än fängelse eller marionetteater

The self, roles and the ongoing coordination of human action. Trying to see ‘society’ as neither prison nor puppet theatre In the article it is argued that structural North-American role-sociology may be integrated with theories emphasizing ‘society’ as ongoing processes (f. ex. Giddens’ theory of structuration). This is possible if the concept of role is defined as a recurrence oriented to the action of others standing out as a regularity in a societal process. But this definition makes it necessary to in a fundamental way understand what kind of social being the role-actor is. This is done with the help of Hans Joas’ theory of creativity and Merleau-Pontys concept of ‘flesh’ arguing that Meads concept of the ‘I’ maybe understood as an embodied self-asserting I, which at least in reflexive modernity has the creative power to split Meads ‘me’ into a self-voiced subject-me and an other voiced object-me. The embodied I communicating with the subject-me may be viewed as that role-actor which is something else than the role played. But this kind of role-actor is making for new troubles because it is hard to understand how this kind of self is creating self-coherence by using Meads concept of ‘the generalized other’. This trouble is handled by using Alain Touraines concept of the ‘subject’ and arguing that the generalized other is dissolving in de-modernized modernity. In split modernity self-coherence may instead be created by what in the article is called the generalized subject. This concept means a kind of communicative future based evaluation, which has its base in the ‘subject’ opposing the split powers of both the instrumentality of markets and of life-worlds trying to create ‘fundamentalistic’ self-identities. This kind of self is communicative because it also must respect the other as ‘subject’. It exists only in the battle against the forces of the market or a community. It never constructs an ideal city or a higher type of individual. It creates and protects a clearing that is constantly being invaded, to use the words of the old Frenchman himself. Asa kind of test-case it is by the way in the article shown how Becks concept of individualization may be understood in a deeply social and role-sociological way.