1,721,071 research outputs found
On the unimodularity of minimal vectors of Humbert forms
No full textBaeza,R.(reprint author). Instituto de Matemáticas, Universidad de Talca, Casilla 721, Talca, Chile
Linkage of fields in characteristic
No full textBaeza R. Instituto de Matemática y Física,Universidad de Talca,Casilla 747,Talca,Chile
Être chrétien sans ambiguïtés
No full textBaeza R. Manuel. Être chrétien sans ambiguïtés. In: Autres Temps. Les cahiers du christianisme social. N°7, 1985. pp. 52-54
On the level of principal ideal domains
No full textBaeza, R (Baeza, R.)Univ Talca, Inst Matemat, Talca, ChileWe construct principal ideal domains with level different from the level of their fields of fractions. We also make some remarks on the sublevel of principal ideal domain
On some invariants of fields of characteristic p>0
No full textBaeza, R. Instituto de Matemáticas, Universidad de Talca, Casilla 721, Talca, Chil
Relations in I-n and (IWq)-W-n in characteristic 2
No full textBaeza, R. Instituto de Matemáticas, Universidad de Talca, Casilla 721, Talca, ChileLet K be a field of characteristic 2. We give natural presentations of the subgroups In(K) of the Witt ring W(K) of K and the subgroups InWq(K) of the Witt group Wq(K) of K. Our results generalize the results of Arason and Elman in [J.K. Arason, R. Elman, Powers of the fundamental ideal in the Witt ring, J. Algebra 239 (2001) 150–160], where the characteristic is assumed to be different from 2
Hermite's constant for quadratic number fields
No full textBaeza, R. (reprint author), Univ Talca, Inst Matemat & Fis, Casilla 721, Talca Chile.We develop a method to compute the Hermite-Humbert constants gamma(K,n) of a real quadratic number field K, the analogue of the classical Hermite constant gamma(n) when Q is replaced by a quadratic extension. In the case n = 2, the problem is equivalent to the determination of lowest points of fundamental domains in H-2 for the Hilbert modular group over K, that had been studied experimentally by H. Cohn. We establish the results he conjectured for the fields Q(root2), Q(root3) and Q(root5). The method relies on the characterization of extreme forms in terms of perfection and eutaxy given by the second author in an earlier paper
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Annihilators of quadratic and bilinear forms over fields of characteristic two
No full textBaeza R. Instituto de Matemática y Física,Universidad de Talca,Casilla 747, Talca, Chile.Let F be a field with 2=0, W(F) the Witt ring of symmetric bilinear forms over F and Wq(F) the W(F)-module of quadratic forms over F. Let IFW(F) be the maximal ideal. We compute explicitly in and ImWq(F) the annihilators of n-fold bilinear and quadratic Pfister forms, thereby answering positively, in the case 2=0, certain conjectures stated by Krüskemper in [M. Krüskemper, On annihilators in graded Witt rings and in Milnor's K-theory, in: B. Jacob et al. (Eds.), Recent Advances in Real Algebraic Geometry and Quadratic Forms, in: Contemp. Math., vol. 155, 1994, pp. 307–320]
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