Quadratic maps between modules

We introduce a notion of $R$-quadratic maps between modules over a commutative ring $R$ which generalizes several classical notions arising in linear algebra and group theory. On a given module $M$ such maps are represented by $R$-linear maps on a certain module $P^2_R(M)$. The structure of this module is described in term of the symmetric tensor square $Sym^2_R(M)$, the degree 2 component $\Gamma^2_R(M)$ of the divided power algebra over $M$, and the ideal $I_2$ of $R$ generated by the elements $r^2-r$, $r\in R$. The latter is shown to represent quadratic derivations on $R$ which arise in the theory of modules over square rings. This allows to extend the classical notion of nilpotent $R$-group of class 2 with coefficients in a 2-binomial ring $R$ to any ring $R$. We provide a functorial presentation of $I_2$ and several exact sequences embedding the modules $P^2_R(M)$ and $\Gamma^2_R(M)$.Comment: 22 page

Algèbres de groupe du groupe additif

TesisEl propósito de la presente investigación fue determinar la eficacia de la aplicación del plan de educación emocional en el incremento de habilidades sociales de los adolescentes de los Planteles de Aplicación "Guamán Poma de Ayala". El tipo de investigación es explicativo. El diseño de investigación es cuasi - experimental. La muestra fue de 60 adolescentes de 15 años matriculados en el cuarto año de educación secundaria de los Planteles de Aplicación "Guamán Poma de Ayala", distribuidos del siguiente modo: grupo control (30 alumnos del 4° años A) y experimental (30 alumnos del 4° año 8). La técnica de recolección de datos fue la encuesta, entrevista semi - estructurada y observación estructurada; el instrumento, fue la Lista de Evaluación de Habilidades Sociales. En el análisis estadístico de los datos se empleó la prueba de Wilcoxon y la U de Mann - Whithey

BLAST, Vol. 2

https://digitalcommons.whitworth.edu/blast/1001/thumbnail.jp

Social influences on microglial reactivity and neuronal damage after cardiac arrest/cardiopulmonary resuscitation

Social isolation presents a risk factor and worsens outcome to cerebrovascular diseases; however, the underlying mechanisms remain underspecified. This study examines the effect of social environment on microglial reactivity after global cerebral ischemia, to test the hypothesis that social isolation leads to greater microglial responses. Adult female and male mice were pair-housed or socially isolated for one week prior to cardiac arrest/cardiopulmonary resuscitation (CA/CPR) or the sham procedure, and following either 2 or 24 hours of reperfusion, microglia samples were enriched and analyzed for gene expression. At the 2-hour time point, microglia from both females and males exhibited ischemia-induced inflammation, characterized by the gene expression increase of tumor necrosis factor alpha (TNF-α), interleukin 1 beta (IL-1β) and interleukin 6 (IL-6), regardless of the housing conditions. However, at 24 hours post-ischemia, social housing attenuated microglial pro-inflammatory gene expression in a sex-specific manner. At this time point, the ischemia-induced increased expression of IL-1β and IL-6 was attenuated by social interaction in microglia from male mice, while among female mice social attenuation of the inflammatory response was observed in the microglial expression of cell surface protein major histocompatibility complex II (MHC II). A second study examined behavioral and physiological measures 96 hours after ischemic injury. At this time point, female and male mice displayed increased locomotion and exploratory behavior following CA/CPR relative to controls. Regardless of sex, ischemia also elicited neuroinflammation and neurodegeneration, both of which were modulated by the social environment. Hippocampal nitric oxide (iNOS), cortical TNF-α, and counts of Fluoro-Jade C positive stained cells in the CA1 region of the hippocampus, were increased in the isolated CA/CPR group relative to sham controls and the pair-housed CA/CPR groups. Together, these data indicate that female and male mice exhibit similar outcome measures and social modulation at 96 hours post-ischemic injury, nonetheless, that social environment influences microglial reactivity to global cerebral ischemia in a sex-specific manner

Commentary: Anxiety- and Depression-like States Lead to Pronounced Olfactory Deficits and Impaired Adult Neurogenesis in Mice

A commentary on: Anxiety- and Depression-like States Lead to Pronounced Olfactory Deficits and Impaired Adult Neurogenesis in Mice by Siopi, E., Denizet, M., Gabellec, M. M., de Chaumont, F., Olivo-Marin, J. C., Guilloux, J. P., et al. (2016). J. Neurosci. 36, 518–531. doi: 10.1523/JNEUROSCI.2817-15.201

Mount Gilead Campground

Prepared by the Fall 1990 Conservation of Historic Building Materials class. This Historic Structure Report contains Historical considerations and information about the Mt. Gilead Campground, physical description of the Arbor, Historical Overview of the site, Prospective Use Rationale and Recommendations for rehabilitation of existing structures, as well as, future property development. The purpose of this report is two-fold - provide a rehabilitation plan for existing structures and a future development plan to expand the use areas of the site.https://scholarworks.gsu.edu/history_heritagepreservation/1018/thumbnail.jp

Time-of-Day Dictates Transcriptional Inflammatory Responses to Cytotoxic Chemotherapy

Many cytotoxic chemotherapeutics elicit a proinflammatory response which is often associated with chemotherapy-induced behavioral alterations. The immune system is under circadian influence; time-of-day may alter inflammatory responses to chemotherapeutics. We tested this hypothesis by administering cyclophosphamide and doxorubicin (Cyclo/Dox), a common treatment for breast cancer, to female BALB/c mice near the beginning of the light or dark phase. Mice were injected intravenously with Cyclo/Dox or the vehicle two hours after lights on (zeitgeber time (ZT2), or two hours after lights off (ZT14). Tissue was collected 1, 3, 9, and 24 hours later. Mice injected with Cyclo/Dox at ZT2 lost more body mass than mice injected at ZT14. Cyclo/Dox injected at ZT2 increased the expression of several pro-inflammatory genes within the spleen; this was not evident among mice treated at ZT14. Transcription of enzymes within the liver responsible for converting Cyclo/Dox into their toxic metabolites increased among mice injected at ZT2; furthermore, transcription of these enzymes correlated with splenic pro-inflammatory gene expression when treatment occurred at ZT2 but not ZT14. The pattern was reversed in the brain; pro-inflammatory gene expression increased among mice injected at ZT14. These data suggest that inflammatory responses to chemotherapy depend on time-of-day and are tissue specific