POLYNOMIAL AND GROUP IDENTITIES IN ALTERNATIVE LOOP ALGEBRAS

We investigate polynomial identities on an alternative loop algebra and group identities on its (Moufang) unit loop. An alternative loop ring always satisfies a polynomial identity, whereas whether or not a unit loop satisfies a group identity depends on factors such as characteristic and centrality of certain kinds of idempotents.

The bound quiver of a split extension

In this paper, we give a sufficient (which is also necessary under a compatibility hypothesis) condition on a set of arrows in the quiver of an algebra A so that A is a split extension of A/M, where M is the ideal of A generated by the classes of these arrows. We also compare the notion of split extension with that of semiconvex extension of algebras.

INVOLUTIONS AND FREE PAIRS OF BASS CYCLIC UNITS IN INTEGRAL GROUP RINGS

Let ZG be the integral group ring of the finite nonabelian group G over the ring of integers Z, and let * be an involution of ZG that extends one of G. If x and y are elements of G, we investigate when pairs of the form (u(k,m)(x*), u(k,m)(x*)) or (u(k,m)(x), u(k,m)(y)), formed respectively by Bass cyclic and *-symmetric Bass cyclic units, generate a free noncyclic subgroup of the unit group of ZG.

BASS CYCLIC UNITS AS FACTORS IN A FREE GROUP IN INTEGRAL GROUP RING UNITS

Marciniak and Sehgal showed that if u is a non-trivial bicyclic unit of an integral group ring then there is a bicyclic unit v such that u and v generate a non-abelian free group. A similar result does not hold for Bass cyclic units of infinite order based on non-central elements as some of them have finite order modulo the center. We prove a theorem that suggests that this is the only limitation to obtain a non-abelian free group from a given Bass cyclic unit. More precisely, we prove that if u is a Bass cyclic unit of an integral group ring ZG of a solvable and finite group G, such that u has infinite order modulo the center of U(ZG) and it is based on an element of prime order, then there is a non-abelian free group generated by a power of u and a power of a unit in ZG which is either a Bass cyclic unit or a bicyclic unit.

FROM TRISECTIONS IN MODULE CATEGORIES TO QUASI-DIRECTED COMPONENTS

In this paper, we define and study a special type of trisections in a module category, namely the compact trisections which characterize quasi-directed components. We apply this notion to the study of laura algebras and we use it to define a class of algebras with predictable Auslander-Reiten components.

REIDEMEISTER SPECTRUM FOR METABELIAN GROUPS OF THE FORM Q(n) x Z AND Z[1/p](n) x Z, p PRIME

In this paper, we study the Reidemeister spectrum for metabelian groups of the form Q(n) x Z and Z[1/p](n) x Z. Particular attention is given to the R(infinity)-property of a subfamily of these groups.

ON SPECIALITY OF BINARY-LIE ALGEBRAS

In the present work, binary-Lie, assocyclic, and binary (-1,1) algebras are studied. We prove that, for every assocyclic algebra A, the algebra A(-) is binary-Lie. We find a simple non-Malcev binary-Lie superalgebra T that cannot be embedded in A(-s) for an assocyclic superalgebra A. We use the Grassmann envelope of T to prove the similar result for algebras. This solve negatively a problem by Filippov (see [1, Problem 2.108]). Finally, we prove that the superalgebra T is isomorphic to the commutator superalgebra A(-s) for a simple binary (-1,1) superalgebra A.

HYPERBOLICITY OF SEMIGROUP ALGEBRAS II

In 1996, Jespers and Wang classified finite semigroups whose integral semigroup ring has finitely many units. In a recent paper, Iwaki-Juriaans-Souza Filho continued this line of research by partially classifying the finite semigroups whose rational semigroup algebra contains a Z-order with hyperbolic unit group. In this paper, we complete this classification and give an easy proof that deals with all finite semigroups.

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).

On Groups Whose Maximal Cyclic Subgroups Are Maximal

We consider the problem of classifying those groups whose maximal cyclic subgroups are maximal. We give a complete classification of those groups with this property and which are either soluble or residually finite.

NONSTATIONARY MIXING AND THE UNIQUE ERGODICITY OF ADIC TRANSFORMATIONS

We define topological and measure-theoretic mixing for nonstationary dynamical systems and prove that for a nonstationary subshift of finite type, topological mixing implies the minimality of any adic transformation defined on the edge space, while if the Parry measure sequence is mixing, the adic transformation is uniquely ergodic. We also show this measure theoretic mixing is equivalent to weak ergodicity of the edge matrices in the sense of inhomogeneous Markov chain theory.

Mitochondrial ion transport pathways: Role in metabolic diseases

Mitochondria are the central coordinators of energy metabolism and alterations in their function and number have long been associated with metabolic disorders such as obesity, diabetes and hyperlipidemias. Since oxidative phosphorylation requires an electrochemical gradient across the inner mitochondrial membrane, ion channels in this membrane certainly must play an important role in the regulation of energy metabolism. However, in many experimental settings, the relationship between the activity of mitochondrial ion transport and metabolic disorders is still poorly understood. This review briefly summarizes some aspects of mitochondrial H(+) transport (promoted by uncoupling proteins, UCPs). Ca(2+) and K(+) uniporters which may be determinant in metabolic disorders. (C) 2009 Elsevier B.V. All rights reserved.

Who Should do What to Whom? : Occupational Groups´Views on Special Needs

The overall aim of this thesis is to increase our knowledge of different occupational groups´ views on work with children in need of special support. This is explored in four separate studies. The first study investigates the views of occupational groups in preschools and schools in one municipality. A questionnaire was handed out to all personnel (N=1297) in the municipality in 2008 (72.5 % response rate). The second study explores the views of educational leaders (N=45) in the same municipality. Questionnaire # 2 was distributed in 2009. All the educational leaders responded to the questionnaire. The third study describes the views of different occupational groups concerning special educational needs coordinators´ (SENCOs) role and work. This was highlighted by comparing responses from questionnaire #1 and # 2. Responses concerning SENCOs´ work were also added using a third questionnaire. This questionnaire was handed out in 2006 to chief education officers (N=290) in all municipalities in Sweden. The response rate was 90.3%. Finally, the fourth study presents five head teachers´ descriptions of their work with special needs issues. Study four was a follow-up study of questionnaire # 2. These head teachers were selected because of their inclusive values and because they seemed to be effective according to certain criteria. They were interviewed in January 2012. The results reveal a number of interesting findings. For example, there are both similar and different views among the occupational groups concerning work with children in need of special support. A majority of the respondents in all groups state that children´s individual deficiencies is one common reason why children need special support in preschools/schools. Differences between the occupational groups become especially visible regarding their views of SENCOs‟ work. Critical pragmatism (Cherryholmes, 1988) is applied as a theoretical point of departure. Skrtic´s (1991) critical reading and analysis of special education relative to general education is specifically used to interpret and discuss the outcome of the studies. Additionally, Abbott´s (1988) reasoning concerning the “division of expert labor” is used to discuss the occupational groups´ replies concerning “who should do what to whom”. The findings in the studies are contextualized and theoretically interpreted in the separate articles. However in the first part of this thesis (in Swedish: Kappa), the theoretical interpretations of the empirical outcome are discussed in more detail and the results are further contextualized and synthesised. Inclusion and premises for inclusive education are also discussed in more depth in the first part of the present thesis.

Multimodal Literacy as a form of Communication : What is the state of the students at Dalarna University multimodal literacy?

Literacy is an invaluable asset to have, and has allowed for communication, documentation and the spreading of ideas since the beginning of the written language. With technological advancements, and new possibilities to communicate, it is important to question the degree to which people’s abilities to utilise these new methods have developed in relation to these emerging technologies. The purpose of this bachelor’s thesis is to analyse the state of students’ at Dalarna University mulitimodal literacy, as well as their experience of multimodality in their education. This has led to the two main research questions: What is the state of the students at Dalarna University multimodal literacy? And: How have the students at Dalarna University experienced multimodality in education? The paper is based on a mixed-method study that incorporates both a quantitative and qualitative aspect to it. The main thrust of the research paper is, however, based on a quantitative study that was conducted online and emailed to students via their program coordinators. The scope of the research is in audio-visual modes, i.e. audio, video and images, while textual literacy is presumed and serves as an inspiration to the study. The purpose of the study is to analyse the state of the students’ multimodal literacy and their experience of multimodality in education. The study revealed that the students at Dalarna University have most skill in image editing, while not being very literate in audio or video editing. The students seem to have had mediocre experience creating meaning through multimodality both in private use and in their respective educational institutions. The study also reveals that students prefer learning by means of video (rather than text or audio), yet are not able to create meaning (communicate) through it.

Att iscensätta apokalypsen : zombiemetaforer i den samtida katastrofberedskapen

Enacting the apocalypse: zombie metaphors in contemporary disaster preparedness Since the turn of the millennium, enactment of possible emergencies and catastrophes has become a most common way of producing knowledge about events yet to occur. Preparedness exercises are frequently performed by public authorities at local and regional levels. Collaborative approaches among relevant actors are enhanced and evaluated through simulated accidents and acts of terror as well as school shootings and epidemic outbreaks. Due to the incalculability of many modern threats, enactment is employed as a method for rendering potential future events available as empirical phenomena. However, sometimes these potential futures are represented in ways that correspond only to imagined and fictional worlds. The aim of this article is to explore the enactment of unreal possibilities in contemporary preparedness exercises. The empirical material employed for this purpose consists of crisis plans and exercise guides used in public and official institutions in the United States as well as qualitative interviews with municipal safety coordinators in Sweden.