2,601 research outputs found
Completion of a Prüfer domain
AbstractLet V (resp. D) be a valuation domain (resp. SFT Prüfer domain), I a proper ideal, and V̂ (resp. D̂) be the I-adic completion of V (resp. D). We show that (1) V̂ is a valuation domain, (2) Krull dimension of V̂=dimV/I+1 if I is not idempotent, V̂≅V/I if I is idempotent, (3) dimD̂=dimD/I+1, (4) D̂ is an SFT Prüfer ring, and (5) D̂ is a catenarian ring
Exotic Smooth Structures on Small 4-Manifolds
Let M be either CP^2#3CP^2bar or 3CP^2#5CP^2bar. We construct the first
example of a simply-connected symplectic 4-manifold that is homeomorphic but
not diffeomorphic to M.Comment: 11 page
The Krull dimension of power series rings over non-SFT rings
AbstractLet R be a commutative ring with identity. We show that the Krull dimension of the power series ring R〚X〛 can be uncountably infinite, i.e., there exists an uncountably infinite chain of prime ideals in R〚X〛, even if dimR is finite. In fact, we show that dimR〚X〛 is uncountably infinite if R is a non-SFT ring, which is an improvement of Arnold’s result
[Accepted Manuscript] Optimizing tubal ligation service delivery: a prospective cohort study to measure the task-sharing experience of Marie Stopes International Ethiopia.
The Ethiopian government implements a progressive task-sharing policy for health services as a strategy to address shortages of highly skilled providers and increase access to critical services, such as family planning. Since 2009, Marie Stopes International Ethiopia has trained health officers to provide tubal ligations, a permanent method of family planning, as part of its task-sharing strategy. The objectives of this research were to evaluate task-sharing tubal ligations to health officers at Marie Stopes International Ethiopia, specifically: (a) to investigate safety, as measured by the proportion of major adverse events; (b) to evaluate the feasibility, as measured by adherence to the standard tubal ligation procedure protocol and (c) to investigate acceptability to clients of the tubal ligation procedure provided by health officers. We established a prospective cohort of women aged  ≥18 years presenting for tubal ligation at Marie Stopes International Ethiopia sites in three regions in Ethiopia (March-May 2014). Data on adverse events (incomplete procedure, pain, bleeding, infection, perforation) were collected intra-operatively; peri-operatively (1-h post-procedure); and post-operatively (7 days post-procedure). To measure feasibility, 65% of procedures were selected for 'audit', where a nurse observed and scored health officers adherence to standard protocol using an 18-item checklist. To assess acceptability, women were asked about their satisfaction with the procedure. In total, 276 women were enrolled in the study. 97.5% of procedures took place in rural settings. All participants were followed up 7 days post-procedure (100% response rate). The overall proportion of major adverse events was 3% (95% CI 1-6%). The most frequent adverse event was 'failure to complete the TL' (2.2%, n = 6). The average score on protocol adherence was 96.9%. Overall, 98.2% (n = 271) of clients would recommend the procedure to a friend. Findings from this study, indicating safety, feasibility and acceptability, are consistent with the existing literature, which indicate safety and acceptability for task-sharing tubal ligations, and other methods of contraception with non-physician health providers. This study adds to scant literature on task-sharing tubal ligations in rural and low-resource settings.<br/
Shot noise in tunneling transport through molecules and quantum dots
We consider electrical transport through single molecules coupled to metal
electrodes via tunneling barriers. Approximating the molecule by the Anderson
impurity model as the simplest model which includes Coulomb charging effects,
we extend the ``orthodox'' theory to expand current and shot noise
systematically order by order in the tunnel couplings. In particular, we show
that a combined measurement of current and shot noise reveals detailed
information of the system even in the weak-coupling limit, such as the ratio of
the tunnel-coupling strengths of the molecule to the left and right electrode,
and the presence of the Coulomb charging energy. Our analysis holds for
single-level quantum dots as well.Comment: 8 page
Mesons and nucleons from holographic QCD in a unified approach
We investigate masses and coupling constants of mesons and nucleons within a
hard wall model of holographic QCD in a unified approach. We first examine an
appropriate form of fermionic solutions by restricting the mass coupling for
the five dimensional bulk fermions and bosons. We then derive approximated
analytic solutions for the nucleons and the corresponding masses in a small
mass coupling region. In order to treat meson and nucleon properties on the
same footing, we introduce the same infrared (IR) cut in such a way that the
meson-nucleon coupling constants, i.e., g_{pi NN} and g_{rho NN} are uniquely
determined. The first order approximation with respect to a dimensionless
expansion parameter, which is valid in the small mass coupling region,
explicitly shows difficulties to avoid the IR scale problem of the hard wall
model. We discuss possible ways of circumventing these problems.Comment: 15 pages, No figure. Several typos have been remove
Exotic smooth structures on 4-manifolds with zero signature
For every integer , we construct infinite families of mutually
nondiffeomorphic irreducible smooth structures on the topological -manifolds
and (2k-1)(\CP#\CPb), the connected sums of
copies of and \CP#\CPb.Comment: 6 page
Study of the multi-species annihilating random walk transition at zero branching rate - cluster scaling behavior in a spin model
Numerical and theoretical studies of a one-dimensional spin model with
locally broken spin symmetry are presented. The multi-species annihilating
random walk transition found at zero branching rate previously is investigated
now concerning the cluster behaviour of the underlying spins. Generic power law
behaviors are found, besides the phase transition point, also in the active
phase with fulfillment of the hyperscaling law. On the other hand scaling laws
connecting bulk- and cluster exponents are broken - a possibility in no
contradiction with basic scaling assumptions because of the missing absorbing
phase.Comment: 7 pages, 6 figures, final form to appear in PRE Nov.200
Phase transition classes in triplet and quadruplet reaction diffusion models
Phase transitions of reaction-diffusion systems with site occupation
restriction and with particle creation that requires n=3,4 parents, whereas
explicit diffusion of single particles (A) is present are investigated in low
dimensions by mean-field approximation and simulations. The mean-field
approximation of general nA -> (n+k)A, mA -> (m-l)A type of lattice models is
solved and novel kind of critical behavior is pointed out. In d=2 dimensions
the 3A -> 4A, 3A -> 2A model exhibits a continuous mean-field type of phase
transition, that implies d_c<2 upper critical dimension. For this model in d=1
extensive simulations support a mean-field type of phase transition with
logarithmic corrections unlike the Park et al.'s recent study (Phys. Rev E {\bf
66}, 025101 (2002)). On the other hand the 4A -> 5A, 4A -> 3A quadruplet model
exhibits a mean-field type of phase transition with logarithmic corrections in
d=2, while quadruplet models in 1d show robust, non-trivial transitions
suggesting d_c=2. Furthermore I show that a parity conserving model 3A -> 5A,
2A->0 in d=1 has a continuous phase transition with novel kind of exponents.
These results are in contradiction with the recently suggested implications of
a phenomenological, multiplicative noise Langevin equation approach and with
the simulations on suppressed bosonic systems by Kockelkoren and Chat\'e
(cond-mat/0208497).Comment: 8 pages, 10 figures included, Updated with new data, figures, table,
to be published in PR
Single-filament Composite MgB2/SUS Ribbons by Powder-In-Tube Process
We report the successful fabrication of single-filament composite MgB2/SUS
ribbons, as an ultra-robust conductor type, employing the powder-in-tube (PIT)
process, by swaging and cold rolling only. The remarkable transport critical
current (Ic) of the non-sintered MgB2/SUS ribbon has observed, as an unexpected
result. Transport critical currents Ic ~ 316 A at T = 4.2 K and Ic ~ 82 A at T
= 20 K were observed at self-field, for the non-sintered composite MgB2/SUS
ribbon. In addition, the persistent current density Jp values, that were
estimated by Bean formula, were more than ~ 7  105 A/cm2 at T = 5 K,
and ~ 1.2  105 A/cm2 at T = 30 K, for the sintered composite MgB2/SUS
ribbon, at H = 0 G.Comment: 10 pages, 4 figure
- …