It is well known that free Boolean algebra on n generators isomorphic to the of functions variables. The distributive lattice monotone In this paper we introduce concept De Morgan function and prove Keywords: Antichain, function, algebra.

— Let p be an odd prime, K a finite extension of Qp and G := Gal(Qp/K) the Galois group. We construct and study filtration structures associated torsion semi-stable representations of G. In particular, we prove that two semi-stable representations share the same p-adic Hodge-Tate type if they are congruent modulo pn with n > c′, where c′ is a constant only depending on K and the differences bet...

Since its abandonment 185 years ago, the XII century Santa Maria de Bonaval Monastery located in Guadalajara (Spain) has suffered significant deterioration: first the roof was lost, followed by partial collapse of the walls, moisture infiltration and extensive loss of stone surfaces due to salt weathering. This case study is a clear example of the incompatibility of some building materials: in ...

It is easy to think of possible tensions between one’s faith and academic reality, but I wish to address here a positive relation, namely, the fact that the academy is itself indebted to religious faith. In particular, I want to point to the impact of Jewish and Christian traditions on a phase of thought that began at the end of the nineteenth century. A significant theme of this thinking was t...

Let p be a prime, K a finite extension of Qp and T a finite free Zp-representation of Gal(K̄/K). We prove that T ⊗Zp Qp is semi-stable (resp., crystalline) with Hodge-Tate weights in {0, . . . , r} if and only if for all n, T/pnT is torsion semi-stable (resp., crystalline) with Hodge-Tate weights in {0, . . . , r}. Résumé. (Représentations galoisiennnes p-adiques de torsion) Soient p un nombre p...

This work deals with the numerical solution of the Vlasov equation. This equation gives a kinetic description of the evolution of a plasma, and is coupled with Poisson’s equation for the computation of the self-consistent electric field. The coupled model is non linear. A new semi-Lagrangian method, based on forward integration of the characteristics, is developed. The distribution function is ...

The focus in the relationship marketing literature is often on retaining customers, and the use of face-to-face relationships. Although the use of technology in business is continually increasing and consequently, limited research addresses the impact of technology on relationships. While it is accepted that trust is necessary for relationships (Morgan and Hunt, 1994) there is little evidence t...