Involutions of RA Loops

Let L be an RA loop, that is, a loop whose loop ring over any coefficient ring R is an alternative, but not associative, ring. Let l bar right arrow l(theta) denote an involution on L and extend it linearly to the loop ring RL. An element alpha is an element of RL is symmetric if alpha(theta) = alpha and skew-symmetric if alpha(theta) = -alpha. In this paper, we show that there exists an involution making the symmetric elements of RL commute if and only if the characteristic of R is 2 or theta is the canonical involution on L, and an involution making the skew-symmetric elements of RL commute if and only if the characteristic of R is 2 or 4.

Cantor-Bernstein Sextuples for Banach Spaces

Let X and Y be Banach spaces isomorphic to complemented subspaces of each other with supplements A and B. In 1996, W. T. Gowers solved the Schroeder-Bernstein (or Cantor-Bernstein) problem for Banach spaces by showing that X is not necessarily isomorphic to Y. In this paper, we obtain a necessary and sufficient condition on the sextuples (p, q, r, s, u, v) in N with p + q >= 1, r + s >= 1 and u, v is an element of N*, to provide that X is isomorphic to Y, whenever these spaces satisfy the following decomposition scheme A(u) similar to X(P) circle plus Y(q) B(v) similar to X(r) circle plus Y(s). Namely, Phi = (p - u)(s - v) - (q + u)(r + v) is different from zero and Phi divides p + q and r + s. These sextuples are called Cantor-Bernstein sextuples for Banach spaces. The simplest case (1, 0, 0, 1, 1, 1) indicates the well-known Pelczynski`s decomposition method in Banach space. On the other hand, by interchanging some Banach spaces in the above decomposition scheme, refinements of the Schroeder-Bernstein problem become evident.

From what we know to how we use it : five principles for turning entrepreneurship research and practitioner action guidelines

This and the companion paper that follows owe their existence to a paper presented by Kevin Hindle at the AGSE Regional Entrepreneurship and Innovation Research Exchange in February 2004. In his paper, Hindle (2004) argued passionately that entrepreneurship researchers must ensure that the best of their hardwon wisdom does not find its beginning motivation and final resting place in the pages of arcane journals that practitioners never read. He suggested that if every entrepreneurship researcher committed, say once every two years, to write a "how to" article it would significantly enhance the status of the research community in the eyes of practising entrepreneurs and those who provide support and services to them.

The argument was well-received, particularly by two people in the audience, Robert Anderson, the managing editor of the Journal of Small Business and Entrepreneurship, the journal of the Canadian Council for Small Business and Entrepreneurship/Conseil Canadien des PME et de l'entrepreneuriat (CCSBE/ CCPME), and Brian Gibson, the editor of Small Enterprise Research, the journal of the Small Enterprise Association of Australia and New Zealand (SEAANZ). For both editors, Hindle's argument was a familiar one. The membership of CCSBE/CCPME and SEAANZ consists of academic researchers, educators, government employees in both policy and program areas, and those offering support and services to entrepreneurs and the managers of small enterprises. In both organizations, there is a general consensus that the needs of "academics" are well met, but not so the needs of the non-academic constituents.

High laryngeal mask airway pressures resulting from nitrous oxide do not increase pharyngeal mucosal injury in dogs

Purpose: During general anesthesia, nitrous oxide (N2O) diffuses rapidly into the air-filled laryngeal mask airway (LMA) cuff, increasing intracuff pressure. There is no clear correlation between LMA intracuff pressure and pressure on the pharynx. We have studied the effects of high LMA intracuff pressures secondary to N2O on the pharyngeal mucosa of dogs.Methods: Sixteen mongrel dogs were randomly allocated to two groups: G1 (intracuff volume, 30 mL; n = 8) breathed a mixture of O-2 (1 L.min(-1)) and air (1 L.min(-1)) and G2 (intracuff volume, 30 mL; n=8) a mixture of O-2 (1 L.min(-1)) and N2O (1 L.min(-1)). Anesthesia was induced and maintained with pentobarbitone. LMA cuff pressure was measured at zero (control), 30, 60, 90 and 120 min after #4 LMA insertion. The dogs were sacrificed, and biopsy specimens from seven predetermined areas of the pharynx in contact with the LMA cuff were collected for light (LM) and scanning electron microscopic (SEM) examination by a blinded observer.Results: LMA intracuff pressure decreased with time in G1 (P < 0.001) and increased in G2 (P < 0.001). There was a significant difference between the groups (P < 0.001). In both groups, the LM study showed a normal epithelium covering the pharyngeal mucosa and mild congestion in the subepithelial layer There were no differences between the groups (P > 0.10) or among the areas sampled (P > 0.05). In both groups, the SEM study showed a normal pharyngeal mucosa with mild superficial desquamation. Few specimens in G1 and G2 showed more intense epithelial desquamation.Conclusion: High LMA intracuff pressures produced by N2O do not increase pharyngeal mucosal injury in dogs.

An Extension of Craig's Family of Lattices

Let p be a prime, and let zeta(p) be a primitive p-th root of unity. The lattices in Craig's family are (p - 1)-dimensional and are geometrical representations of the integral Z[zeta(p)]-ideals < 1 - zeta(p)>(i), where i is a positive integer. This lattice construction technique is a powerful one. Indeed, in dimensions p - 1 where 149 <= p <= 3001, Craig's lattices are the densest packings known. Motivated by this, we construct (p - 1)(q - 1)-dimensional lattices from the integral Z[zeta(pq)]-ideals < 1 - zeta(p)>(i) < 1 - zeta(q)>(j), where p and q are distinct primes and i and fare positive integers. In terms of sphere-packing density, the new lattices and those in Craig's family have the same asymptotic behavior. In conclusion, Craig's family is greatly extended while preserving its sphere-packing properties.

Dynamics of the Arctic Fox Population on St. Lawrence Island, Bering Sea

English abstract: We hypothesized that the arctic fox, Alopex lagopus (Linnaeus), population on St. Lawrence Island was cyclic and that its fluctuations in size. structure, and productivity were correlated with the relative size of the population of northern voles, Microtus oeconomus Pallas, the primary prey. Based on a nine-year study, we determined that the variations in size of the fox and vole populations were similar, but they both were of low amplitude and not closely correlated. The high pregnancy rate (mean, 86%/yr) and numbers of young conceived (mean, 11.5/pregnancy) did not vary significantly among years, probably because of the consistently abundant and diverse food supply available to the foxes. The age composition of the trappers' catch of foxes each winter also was comparatively stable, but it was closely correlated with the size of the vole population in the previous summer. The survival of the young foxes during the summer probably was dependent on the availability of the voles, The composition of the catch also appeared to be influenced by immigration of faxes from the adjacent continents via the pack ice. French abstract: Nous avons émis I'hypothèse que la population du renard arctique, Alopex lagopus (Linnaeus), sur I'île Saint Lawrence était cyclique el que les fluctuations concernant sa tailIe, sa structure et sa productivité étaient corrélées à la taille relative de la population du campagnol nordique. Microtus oeconomus Pallas, sa principale proie. En nous appuyant sur une étude menée sur neuf ans, nous avons déterminé que les variations dans la taille des populations du renard et du campagnol étaient semblables. mais que toutes deux avaient une faible amplitude et n'étaient pas corrélées de façon étroite. Le taux de grossesse élevé (moyenne 86 p. cent/an) et Ie nombre dc petits conçus (moyenne 11,5/grossesse) ne variaient pas de façon significative au cours des ans, probablement à cause de I'abondance et de la variété de sources de nourriture pour les renards. La composition d'âge des prises des trappeurs était également stable d'un hiver à I'autre, mais elle était corrélée de façon étroite avec la taille de la population dc campagnols au cours de I'été précédent. La survie des renardeaux au cours de I'été dépendait probablement de la disponibilité des campagnols. La composition des prises semblait aussi être influencée par I'immigration des renards venant des terres continentales adjacentes par la voie de la banquise.

Existence of Solutions for Abstract Non-Autonomous Neutral Differential Equations

In this paper we discuss the existence of mild and classical solutions for a class of abstract non-autonomous neutral functional differential equations. An application to partial neutral differential equations is considered.

Desarrollo de las técnicas de producción de larvas de bocinegro (Pagrus pagrus) en Canarias

The incorporation of new marine species in aquaculture is esencial to development of this activity. The recent advances on the establishment oftechniques to produce red porgy (Pagrus pagrus), allow to consider it as a strong potencialto aquaculture, being predictable its implement in the Canary Archipel. Neverthe!ess, so far it is not posible to produce it comercially, due to difficulties in assuring a continual supply of larvae and fry. Knowing this, it is crucialto continue studying the production techniques oflarvae and the feeding system during this periodo For this, the aim of tbe work is to optimize production

Use of fluorescein and indocyanine green angiography in polypoidal choroidal vasculopathy patients following photodynamic therapy

BACKGROUND: Exudative age-related macular degeneration (AMD) is a sight-threatening event in many elderly people. Some patients have a much better outcome in visual acuity (VA) than others after treatment with photodynamic therapy (PDT) with verteporfin. The combination of fluorescein angiography (FA) and indocyanine green (ICG) angiography using the Heidelberg Retina Angiograph II (HRA 2) should make a delineation of distinct pattern(s) possible in order to better select and assess therapy. METHODS: This is a retrospective, case-control, single-centre study. We identified a total of 168 eyes of 168 patients from July 2003 to June 2006, including 30 eyes of 30 patients with better visual outcome, defined in this study as VA < or = 0.48 logMAR (> or =20/60 Snellen chart) at the end of the study. Best-corrected VA, maximal central retinal thickness as measured by optical coherence tomography, and results of the FA/ICG angiography using the HRA 2 were analyzed. In this article, we discuss patients with polypoidal choroidal vasculopathy (PCV) and their characteristics. RESULTS: The average follow-up time was 15.3 months (range 4-28 months). Seventeen (57%) of the 30 patients with better visual outcome had PCV. All patients in the group with better visual outcome needed fewer PDT treatments compared with our control group of patients with an exudative AMD. INTERPRETATION: Simultaneous FA/ICG angiography using the HRA 2 allowed delineation of a subgroup of patients with PCV who showed a better visual outcome compared with those with other types of exudative AMD, after treatment with PDT.

Architekturtradition und ethnische Identität

Sumatra ist die Heimat vielfältiger indigener Bautraditionen, deren Überleben wegen der schnellen Modernisierung des Landes gefährdet ist. Dem Verlust lebendiger Bautraditionen folgt ein Verlust von Vielfalt und kultureller Identität. Der Beitrag widmet sich zunächst der indigenen Baukultur der Karo- und Toba-Batak, zweier Ethnien im Norden Sumatras. Ein zweiter Abschnitt stellt ausgehend von den traditionellen Haustypen die Anpassungsstrategien –chancen dar, die sich aus den westlichen Einflüssen und den daraus resultierenden veränderten Familiengrößen ergeben. Die Anpassungsstrategien der Karo- und Toba-Batak illustrieren ein verzweifeltes Streben nach regionaler Zugehörigkeit und nach kultureller Identität im Zeitalter eines global-uniformen Architekturschaffens.

«Vers une transculturalité mondialisée. Wajdi Mouawad : Le Sang des promesses, marges et frontières»

Tandis que nombre d’anthropologues ont critiqué les apories du multiculturalisme canadien, lequel prétend ouvrir à une politique de la «reconnaissance», cet article envisage comment la «reconnaissance» gagne à être envisagée au niveau «transculturel», et comment une telle reconnaissance transculturelle peut être figurée dans une dramaturgie fondée sur un renouvellement de la reconnaissance (anagnôrisis) aristotélicienne.

Die Flora von Kaiser Wilhelms Land

von K. Schumann, Dr. phil. und M. Hollrung, Dr. phil.