We obtain a characterization of the Lie algebras admitting abelian complex structures in terms of certain affine Lie algebras aff(A), where A is a commutative algebra.

2) MHM(pt) is the category of graded polarizable rational mixed Hodge structures, such that rat is the forgetful functor 3) M ∈MHM(X) admits a weight filtration W • satisfying -morphisms preserve W • strictly -Gr k M is semisimple -W • on pt is the usual weight filtration 4) MHM(X) has a duality functor D For a morphism s : X → Y DMHM(X) has functors f∗, f!, f∗, f , that are sent by rat and Dmo...

Interpersonal Comparisons of Utility: An Algebraic Characterization of Projective Preorders and Some Welfare Consequences It is shown that any completely preordered topological real algebra admits a continuous utility representation which is an algebra-homomorphism (i.e., it is linear and multiplicative). As an application of this result, we provide an algebraic characterization of the projecti...

Obstructions of rational commensurability of reducible surface automorphisms are given. There are 3-manifolds admitting different surface bundles structures with monodromies not rational commensurable.

When inquiries to the Cardiff Centre of the National Poisons Information Service were compared with hospital admissions in the eight health authorities in Wales the findings suggested fewer admissions in the area within which the centre is situated and showed a more extensive use in that area than elsewhere. High inquiry rates were associated with high hospital admission rates when the eight ar...

We prove that for each closed smooth spin 4-manifold M there exists a closed smooth 4-manifold N such that M#N admits a conformally flat Riemannian metric.

where x(t), y(t) and z(t) are differentiable functions in t. The vector ċ is called tangent vector. A curve point c(t0), t0 ∈ I is called regular if ċ(t0) 6= o. A parametrization is called regular, if ċ(t) 6= o for all t ∈ I. Any differentable change of the parameter τ = τ(t) does not change the curve. Moreover, if τ̇ 6= 0 in I then d(t) = c(τ(t)) is also a regular parametrization. A curve which...