Let k be a perfect field of characteristic p > 0. We obtain a complete classification of finite abelian local k-Hopf algebras with local dual such that the augmentation ideal is annihilated by the Frobenius map. We then use the theory of finite Honda systems to show that these Hopf algebras lift to extensions R of W (k) with 2 ≤ e(R/W (k)) ≤ p − 1, and construct all such lifts.

It is an open question to give a combinatorial interpretation of the Falk invariant hyperplane arrangement, i.e. third rank successive quotients in lower central series fundamental group arrangement. In this article, we formula for case arrangements that are complete lift representation certain gain graphs. As corollary, compute cone braid, Shi, Linial and semiorder arrangements.

SUMMARY Wind-tunnel tests have been made to assess the aerodynamic potential of an overwing installation for fan-jet engines on a typlcal modern transport aeroplane. Low-speed tests on a complete model with free-flow nacelles and tests at higher speed on a partial model incorporating a blown jet are described; it is concluded that the lift-dependent drag associated with such an installation wou...

Background Despite the popularity of latissimus dorsi (LD) flap in breast reconstruction, a breast implant is often necessary to achieve sufficient volume. Prior reports describe fat grafting to the LD flap as a secondary procedure to correct contour deformities and improve volume. Our institution has instituted autologous breast reconstruction with an LD flap and immediate fat transfer (LIFT)....

scour around bridge piers is one of the most important fields of hydraulic research. local scour around bridge piers and abutment is one of the main reasons of bridge failures. in the field of scour at the bridges, researches are more focus on scour of piers in compare with abutment. while the available information on the bridge failures required cost, the major problems are related to abutment...

Objectives/Hypothesis: To present a novel technique based on the combination of aesthetic and reconstructive techniques for the radical and safe excision of preauricular sinus along with minimal cosmetic impairing. Study Design: Case report, description of surgical method and brief overview of the literature. Methods: In a patient with bilateral preauricular sinus, we used a modified face-lift ...

In this article, we report several new geometric and Lyapunov characterizations of incrementally stable systems on Finsler Riemannian manifolds. A intrinsic proof an important theorem in contraction analysis is given via the complete lift system. Based this, two are derived, namely, converse theorems, revelation connection between incremental stability equilibrium point, which second result rec...

Using natural lifting operations, we give a coordinate-free proof of the fact that connection used by Bordemann, Neumaier and Waldmann to construct Fedosov standard ordered star product on cotangent bundle Riemannian manifold is obtained symplectification complete lift corresponding Levi-Civita connection, in sense Yano Patterson. In terms local coordinates, this has already been shown Plebansk...