let $n$ be a submodule of a module $m$ and a minimal primary decomposition of $n$ is known‎. ‎a formula to compute baer's lower nilradical of $n$ is given‎. ‎the relations between classical prime submodules and their nilradicals are investigated‎. ‎some situations in which semiprime submodules can be written as finite intersection of classical prime submodule are stated‎.

let $r$ be a commutative ring with identity and $m$ be an$r$-module. let $fspec(m)$ denotes the collection of all prime fuzzysubmodules of $m$. in this regards some basic properties of zariskitopology on $fspec(m)$ are investigated. in particular, we provesome equivalent conditions for irreducible subsets of thistopological space and it is shown under certain conditions$fspec(m)$ is a $t_0-$spa...

Dengue is present in the Federal District since 1991 and virological studies of the vector began in 1998. Two strains of DEN1 were isolated from 9 pools of female Aedes aegypti (78 mosq.), collected in April in Gama county, where the Breteau index was 5.4, and 32 autochtonous human cases were notified.

Paolo Pelosi1, Lorenzo Ball1, Marcelo Gama de Abreu2, Patricia R. M. Rocco3 1Department of Surgical Sciences and Integrated Diagnostics, University of Genoa, IRCCS San Martino – IST, Genoa, Italy 2Department of Anesthesiology and Intensive Care Therapy, Technische Universität Dresden, Dresden, Germany 3Laboratory of Pulmonary Investigation, Carlos Chagas Filho Institute of Biophisics, Federal U...

Thomas Bruen 1,*, James Michael Hooper 1, James Marco 1, Miguel Gama 2 and Gael Henri Chouchelamane 2 1 Warwick Manufacturing Group (WMG), University of Warwick, Coventry CV4 7AL, UK; [email protected] (J.M.H.); [email protected] (J.M.) 2 Jaguar Land Rover, Banbury Road, Warwick CV35 0XJ, UK; [email protected] (M.G.); [email protected] (G.H.C.) * Corresponde...

PEDRO G. LIND1,2,∗, ALEJANDRO MORA3, JASON A.C. GALLAS4, MARIA HAASE3 1Institute for Computational Physics, Universität Stuttgart, Pfaffenwaldring 27, D-70569 Stuttgart, Germany, 2Centro de Fı́sica Teórica e Computacional, Av. Prof. Gama Pinto 2, 1649-003 Lisbon, Portugal, 3Institut für Höchsleistungsrechnen, Universität Stuttgart, Pfaffenwaldring 27, D-70569 Stuttgart, Germany, 4Instituto de Fı́...

In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...