A graded subring of an inverse limit of polynomial rings

We study the power series ring R= K[[x1,x2,x3,...]]on countably infinitely many variables, over a field K, and two particular K-subalgebras of it: the ring S, which is isomorphic to an inverse limit of the polynomial rings in finitely many variables over K, and the ring R', which is the largest graded subalgebra of R. Of particular interest are the homogeneous, finitely generated ideals in R', among them the generic ideals. The definition of S as an inverse limit yields a set of truncation homomorphisms from S to K[x1,...,xn] which restrict to R'. We have that the truncation of a generic I in R' is a generic ideal in K[x1,...,xn]. It is shown in Initial ideals of Truncated Homogeneous Ideals that the initial ideal of such an ideal converge to the initial ideal of the corresponding ideal in R'. This initial ideal need no longer be finitely generated, but it is always locally finitely generated: this is proved in Gröbner Bases in R'. We show in Reverse lexicographic initial ideals of generic ideals are finitely generated that the initial ideal of a generic ideal in R' is finitely generated. This contrast to the lexicographic term order. If I in R' is a homogeneous, locally finitely generated ideal, and if we write the Hilbert series of the truncated algebras K[x1,...,xn] module the truncation of I as qn(t)/(1-t)n, then we show in Generalized Hilbert Numerators that the qn's converge to a power series in t which we call the generalized Hilbert numerator of the algebra R'/I. In Gröbner bases for non-homogeneous ideals in R' we show that the calculations of Gröbner bases and initial ideals in R' can be done also for some non-homogeneous ideals, namely those which have an associated homogeneous ideal which is locally finitely generated. The fact that S is an inverse limit of polynomial rings, which are naturally endowed with the discrete topology, provides S with a topology which makes it into a complete Hausdorff topological ring. The ring R', with the subspace topology, is dense in R, and the latter ring is the Cauchy completion of the former. In Topological properties of R' we show that with respect to this topology, locally finitely generated ideals in R'are closed.

Skyddandets förnuft : En studie om anhöriga till hjälpbehövande äldre som invandrat sent i livet

This dissertation aims to examine and deepen the knowledge of family member caregiving where the care recipient is an elderly person who immigrated late in life. It also aims to contribute to the knowledge of the complexities underlying informal care giving and add to our understandings of what it means to be an immigrant in Sweden. The caregiver is in focus. The research conducted is explorative and partly inductive. The main material used is a qualitative interview study carried out with family members from different countries who are providing informal care to elderly immigrant relatives. The analysis gives three patterns of caregiving. One shows help from informal caregivers only who are not compensated economically. Another shows help from family members who are compensated. The third shows help from family members and staff from the public care system. Three ideal-typical informal caregiver roles show different positions vis-à-vis the new: “guardian”, “filter” and “reinterpreter of traditional care ideals”. Swedish born and immigrated informal caregivers are also compared through analysis of data gathered in telephone interviews with a representative selection of inhabitants in the County of Stockholm. A philosophy of action together with theory on integration and multiculturalism serves as theoretical frameworks to understand discrepancies and ambiguities in the data. Young immigrants experience different integration processes than do the older ones. They strive to protect older family members from changes linked to the migration experience. Talk about dependence on culture underlines family feelings and legitimates the processes of protection. Preconceptions about great differences between Swedish born and immigrant families are not supported by quantitative data. A conclusion is that protection can be understood in relation both to the traditional and the new, the latter in the forms of meetings with Swedish society where unequal relations prevail. It is a kind of counter-strategy where the range of actions is diminished, and thus it has its own logic. Protection can be loosened up when the circumstances change and the range of actions grow.

Learning Democracy Together in School? : Student and Teacher Attitudes in Bosnia and Herzegovina

The principal aim of this study is to examine attitudes and values, through questionnaires, among students and teachers in the last grade of primary school (grade 8) regarding issues related to authoritarianism, democracy, human rights, children rights, conflict resolution and legislation in Bosnia and Herzegovina. A second aim is to explore and analyze the role of the international community in the democratization and education processes in the light of globalization in this country through secondary sources of data, site visits and observations. Analysis of the student sample reveals suspicion towards democracy, especially when democracy was associated with politics and politicians. When the issue of democracy was de-contextualized from Bosnia and Herzegovina realities in the questionnaire, students showed more positive attitudes towards it. Students generally agreed with very strong authoritarian statements. High achieving students were more democratic, more socially responsible, more tolerant regarding attitudes towards religion, race and disabilities, and less authoritarian compared to low achievers. High achievers felt that they had influence over daily events, and were positive towards social and civil engagement. High achievers viewed politics negatively, but had high scores on the democracy scale. High achievers also agreed to a larger extent that it is acceptable to break the law. The more authoritarian students were somewhat more prone to respond that it is not acceptable to break the law. The major findings from the teacher sample show that teachers who agreed with non-peaceful mediation, and had a non-forgiving and rigid approach to interpersonal conflicts, also agreed with strong authoritarian statements and were less democratic. In general, teachers valued students who behave respectfully, have a good upbringing and are obedient. They were very concerned about the general status of education in society, which they felt was becoming marginalized. Teachers were not happy with the overloaded curricula and they showed an interest in more knowledge and skills to help children with traumatic war experiences. When asked about positive reforms, teachers were highly critical of, and dissatisfied with, the educational situation. Bosnia and Herzegovina is undergoing a transition from a state-planned economy and one party system to a market economy and a multi party system. During this transition, the country has become more involved in the globalization process than ever. Today the country is a semi-protectorate where international authorities intervene when necessary. The International community is attempting to introduce western democracy and some of the many complexities in this process are discussed in this study. Globalization processes imply contradictory demands and pressures on the education system. On one hand, economic liberalization has affected education policies —a closer alignment between education and economic competitiveness. On the other hand, there is a political and ideological globalization process underlying the importance of human rights, and the inclusiveness of education for all children. Students and teachers are caught between two opposing ideals — competition and cooperation.

‘Neutral, native-like or authentic’ : Investigating attitudes and beliefs of expanding circle speakers of English

The status of English as the language of international communication is by now well-established. However, in the past 16 years, research has tried to emphasize the fact that the English spoken in international contact situations and between people with other first languages than English has different needs than the English spoken locally amongst native speakers, resulting in the emergence of English as a lingua franca (ELF) as a scholarly field. However, the impact of findings in ELF has so far only led to a moderate shift in English language teaching. Especially in expanding circle countries, where ELF should have the biggest impact, change is only gradually becoming palpable. Accent and pronunciation, as one of the biggest factors on both identity and mutual intelligibility (Jenkins 2000; 2007) are at the root of discussion. The scope of this study is therefore to examine accent choices and the extent to which native speaker ideology informs the preferences of ten speakers of ELF and 27 German natives with experience in international communication. Both ethnographical and sociolinguistic methods, as well as auditory analysis have been applied and conducted. The auditory analysis of six variables in the recorded speech production of the ten speakers suggests that there is no significant preference of one norm-giving variety over the other. Rather, speakers tend to mix-and-match General American- and Standard Southern British English-like features in their pronunciation. When reporting their accent ideals, the idea of a ‘neutral’ English accent is mentioned by four participants. Neutral accents seem to have been understood as ‘unmarked accents’. Expressed beliefs on their own English pronunciation show a comparatively high level of reflection on and confidence in their own production. Results from a rating task and a survey given to 27 German participants reveal attitudes that are more negatively stacked. While Germans reported openness towards NNS (non-native speaker) accents and showed awareness of the priority of intelligibility over accent choice in both their own and others’ pronunciation, they still largely reported NS accent preference. The ratings of the production from ten ELF speakers confirmed this and showed that ‘neutral’ is equated with native-like. In the light of these findings, issues are discussed that ultimately relate to the influence of NS Englishes, identity and the development of English as an international language.

Barriers of sentiment : Identity -formation, -regulation and subjectification in preschools

This thesis studies preschool socialization in terms of identity -formation, -regulation, and subjectification. Both the methodology and theoretical backdrop draws on Critical Management Studies, and the contribution to research comes from studying a subject otherwise non-prioritized. I have performed a qualitative study entailing interviews of pedagogues and preschool chiefs working within the same company in the Stockholm region. The study indicate that preschool discourse emphasize the importance of social competences and rituals, and moreover that the institution also accentuates its role in setting the proper ‘preconditions’. Furthermore, the study demonstrates how pedagogues – using mechanisms such as individual discourses, the children’s agency, and the milieu – try to form individuals who are: social, independent, self-reliant, have a strong ‘self’, joyful towards learning, and ‘can do it themselves’. I make a liaison between the aforementioned ideals and certain trends discussed by managerial literature, like for instance currents towards: self-management, neo-normative control, self-entrepreneurial attitudes, ambidextrousness, and the ‘principle of potential’ (Costea et al., 2012; Fleming & Study, 2009; Holmqvist & Spicer, 2013; Maravelias, 2011; Pongratz & Voß, 2003). Finally the thesis concludes by firstly underscoring that the Discourse of for example ‘joyful learning’ and ‘independency’ in preschools tend to demolish physical modes of control in place of psychological ones; and secondly, by discussing historical practices, the thesis brings attention to a shift from safekeeping children to preparing them for industrial, urbanistic, and capitalistic social existence.