Revistas académicas de la Universidad Católica del Norte
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Le seuil de reconstructibilité par le haut modulo la dualité des relations binaires finies
No full textEtant donnée une relation binaire R, de base E, on définit sa duale RB par RB(x, y) = R(y, x). La relation R est dite auto-duale si elle est isomorphe à RB. Une relation binaire R0 est hémimorphe à R, si elle est isomorphe à R ou à RB. Une relation binaire à n éléments est (?k)-demi-reconstructible, si elle est déterminée à l’hémimorphie près, par la donnée à l’hémimorphie près de ses restrictions de cardinal (n ? k). L’étude faite en [8] entraine la (-d)- demi-reconstructibilité des relations binaires finies pour tout d ? 12. Nous étabissons la (?d)-demi-reconstructibilité des relations binaires finies pour tout d ? {11, 10, 9, 8, 7, 6}. Given a binary relation R of basis E, we define its dual RB by RB(x, y) = R(y, x). A relation R is self-dual if it is isomorphic to RB. A binary relation R0 is hemimorphic to R, if it is isomorphic to R or to RB. A relation R defined on n elements is (?k)- half - reconstructible if it is determined, up to hemimorphism, by its restrictions of cardinality (n ? k). From [8] follows the (?d)-halfreconstructibility of finite binary relations, for all d ? 12. We establish the (?d)-half-reconstructibility of finite binary relations, for all d ? {11, 10, 9, 8, 7, 6}
Nonresonance below the second eigenvalue for a nonlinear elliptic problem
No full textWe study the solvability of the problem ??pu = g(x, u) + h in ?; u = 0 on ??, when the nonlinearity g is assumed to lie asymptotically between 0 and the second eigenvalue ?2 of ??p. We show that this problem is nonresonant
Rigid spherical hypersurfaces in C2
No full textIn this paper we describe explicitly one class of real-analytic hypersurfaces in C2 rigid and spherical at the origin
A nonresonance between non-consecutive eigenvalues of semilinear elliptic equations : Variational methods
No full textWe study the solvability of the problem ??u = f(x, u) + h in ? ; u = 0 on ??when the nonlinearity f is assumed to lie asymptotically between two non- consecutive eigenvalues of ??. We show that this problem is nonresonant
Deux exemples de calcul explicite de cohomologie de Dolbeault feuilletee
No full textDans ce papier, on calcule explicitement la cohomologie de Dolbeault feuilletée pour les deux exemples de feuilletages complexes suivants : i) un feuilletage complexe linaire de dimension 1 sur le tore Tn ; ii) une fibration non localement triviale en courbes elliptiques. In this paper, we compute explicitly the leafwise Dolbeault cohomology for two examples : i) a complex one dimensional linear foliation on the torus Tn ; ii) a non locally trivial fibration whose fibres are elliptic curves
OR-convergence and weak OR-convergence of nets and their applications
No full textIn this paper, the theory of OR-convergence and weak OR-convergence of nets is introduced in L-topological spaces by means of neighborhoods and strong neighborhoods of fuzzy points based on Shi’s O-convergence.It can be used to characterize preclosed sets, preopen sets, δ-closed sets, δ-open sets, near compactness and near S*-compactness
On conmutative left-nilalgebras of index 4
No full textWe first present a solution to a conjecture of (Correa, Hentzel, Labra, 2002) in the positive. We show that if A is a commutative nonassociative algebra over a field of characteristic 6= 2, 3, satisfying the identity x(x(xx)) = 0, then Lat1 Lat2 · · · Lats 0 if t1 + t2 + · · · + ts 10, where a A
Semi θ-compactness in intuitionistic fuzzy topological spaces
No full textThe purpose of this paper is to construct the concept of semi θ-compactness in intuitionistic fuzzy topological spaces. We give some characterizations of semi θ-compactness, locally semi θ-compactness. A comparison between these concepts and some other types of compactness in intuitionistic fuzzy topological spaces are established
Uniform boundedness in vector-valued sequence spaces
No full textLet µ be a normal scalar sequence space which is a K-space under the family of semi-norms M and let X be a locally convex space whose topology is generated by the family of semi-norms X. The space µ{X} is the space of all X valued sequences x = {xk} such that {q(x?)} ? µ{X} for all q ? X. The space µ{X} is given the locally convex topology generated by the semi-norms ?pq(x) = p({q(x?)}), p ? X, q ? M.We show that if µ satisfies a certain multiplier type of gliding hump property, then pointwise bounded subsets of the ?-dual of µ{X} with respect to a locally convex space are uniformly bounded on bounded subsets of µ{X}
Solvability of commutative power-associative nilalgebras of nilindex 4 and dimension
No full textLet A be a commutative power-associative nilalgebra. In this paper we prove that when A (of characteristic ?2) is of dimension ? 8 and x? = 0 for all x ? A, then ((A²)²)² = 0. That is, A is solvable. We conclude that if A is of dimension ? 7 over a field of characteristic ?2, 3 and 5, then A is solvable