Scielo RSS <![CDATA[Proyecciones (Antofagasta)]]> vol. 25 num. 3 lang. en <![CDATA[SciELO Logo]]> <![CDATA[<b>UNE REMARQUE SUR LA TRACE DE LA TORSION ET LE TENSEUR DE RICCI</b>]]> Résumé: On donne une formule qui raccorde la trace de la torsion, le tenseur de Ricci et l’application exponentielle d’une connexion pour laquelle une forme volume est `a dérivée covariante nulle. Ce résultat élémentaire répond `a une question souvent posée <![CDATA[<b><i>L</i></b><b>-FUZZY CLOSURE OPERATOR</b>]]> The aim of this paper is to study L-fuzzy closure operator in Lfuzzy topological spaces. We introduce two kinds of L-fuzzy closure operators from different point view and prove that both L-TFCS.the category of topological L-fuzzy closure spaces.and L-PTFCS.the category of topological pointwise L-fuzzy closure paces.are isomorphic to L-FCTOP <![CDATA[<b>A NEW NOTION OF SP-COMPACT <i>L</i>-FUZZY SETS</b>]]> A new notion of SP-compactness is introduced in L-topological spaces by means of semi-preopen L-sets and their inequality, where L is a complete De Morgan algebra. This new notion does not depend on the structure of basis lattice L and L does not require any distributivity. This new notion implies semicompactness, hence it also implies compactness. This new notion is a good extension and it has many characterizations if L is completely distributive De Morgan algebra <![CDATA[<b>ON SOME FUNCTIONS CONCERNING FUZZY PG-CLOSED SETS</b>]]> In this paper we consider new weak and strong forms of fuzzy preirresoluteness and fuzzy pre-closureness via the concept of fuzzy pg-closed sets which we call ap-Fp-irresolute functions, ap-Fp-closed functions and contra fuzzy pre-irresolute functions and we use it to obtain a characterization of fuzzy pre-T_1/2 spaces. <![CDATA[<b>ON OPERATOR IDEALS DEFINED BY A REFLEXIVE ORLICZ SEQUENCE SPACE</b>]]> Classical theory of tensornorms and operator ideals studies mainlythose defined by means of sequence spaces ..p. Considering Orlicz sequence spaces as natural generalization of ..p spaces, in a previous paper [12] an Orlicz sequence space was used to define a tensornorm, and characterize minimal and maximal operator ideals associated, by using local techniques. Now, in this paper we give a new characterization of the maximal operator ideal to continue our analysis of some coincidences among such operator ideals. Finally we prove some new metric properties of tensornorm mentioned above <![CDATA[<b>CONVERGENCE OF NEWTON'S METHOD UNDER THE GAMMA CONDITION</b>]]> We provide a semilocal as well as a local convergence analysis ofNewton's method using the gamma condition [1], [10], [11]. Usingmore precise majorizing sequences than before [4], [8]-[11] and underat least as weak hypotheses, we provide in the semilocal case: finererror bounds on the distances involved and an at least as precise informationon the location of the solution; in the local case: a largerradius of convergence <![CDATA[<b>THE COMPLEX LINEAR REPRESENTATIONS O</b>F <i>GL(2, k), k</i> <b>A FINITE FIELD</b>]]> Let k be a finite field of odd characteristic, and let G be the group of all invertible 2 ¡¿ 2 matrices over k. We construct the irreducible complex linear representations of the group G.The constructions lean on the method of induction from subgroups and on the theory of characters. To accomplish this goal, the basic facts from the theory of representations and characters of finite groups are presented. Furthermore, we describe the structure of G that we need, and the theory of representations of some subgroups of G that we use. As a final result, we obtain the theory of the irreducible representations of G,by describing either the irreducible representations of , or the irreducible characters of the group G