Note on 2-rational fields

We compute the Galois group of the maximal 2-ramified and complexified pro-2-extension of any 2-rational number field.Comment: This Note is motivated by the paper ``Galois 2-extensions unramified outside 2'' of J. Jossey. We bring into focus some classical technics on abelian $\ell$-ramification which considerably simplify proofs in such subjects; for instance, the main Theorem 2, due to J-F. Jaulent, generalizes the purpose of Jossey's pape

Correct statement of a scattering problem for quantum charged scalar particles on the Reissner-Nordstr\"{o}m black holes

We study a correct statement of the scattering problem arising for quantum charged scalar particles on the Reissner-Nordstr\"{o}m black holes when taking into account the own electric field of black hole. The elements of the corresponding S-matrix are explored in the form convenient to physical applications and for applying numerical methods. Some further possible issues are outlined.Comment: 12 pages, LaTeX with using the ijmpd1.sty file from the package of World Scientific Publishing Co., to appear in Int. J. Mod. Phys. D7 (1998

Fundamentos epistemológicos del diálogo luliano

This study is divided in three parts. First, it shows which are the specific truths of Christianism, that distinguish it from other monotheistic religions. In the second part, establish the lullian metaphysics´suppositions that consent to embrace this truths. Finally, the third part is an attempt to expose the arguments and demonstrations characteristic of Lullian theory of knowledge

Compactification l-adique de R

We construct a compact topological group Rl which contains both the real additive group R and the l-adic one Ql (for a given prime number l) as dense subgroups; thus we study some of its properties. This construction gives an arithmetic description of the so-called l-adic solenoid classically defined in terms of foliations

Raimundo Lúlio e o Livro contra o Anticristo

A precipitada interpretação do Livro contra o Anticristo pode originar diversos equívocos na compreensão do pensamento luliano, em especial nos temas relativos ao diálogo entre a Filosofia e a Teologia, por exemplo, o suposto racionalismo que despreza o conhecimento mediante a fé, e a confusão da equivalência entre as religiões. Estas linhas convidam a um novo enfoque da obra luliana a partir de uma metafísica e uma lógica que, deixando em suspenso as verdades da fé, conclui consequências exclusivamente racionais, mas que se correspondem com as verdades reveladas.A superficial interpretation of the Book Against the Antichrist may lead to several misunderstandings of Llull's thought regarding the relation between Philosophy and Theology: this is particularly true for Llull's purported rationalism that would despise knowledge through faith and lead to a false equivalence among religions. This article presents a new approach to Llull's works from a metaphysical and a logical point of view: while holding the truths of faith in abeyance, Llull draws exclusively rational consequences which, however, correspond to revealed truths

Computation of 2-groups of positive classes of exceptional number fields

We present an algorithm for computing the 2-group of the positive divisor classes of a number field F in case F has exceptional dyadic places. As an application, we compute the 2-rank of the wild kernel WK2(F) in K2(F) for such number fields