Enviaments recents

  • On a radical extension of the field of rational functions in several variables 

    Vela del Olmo, Maria Montserrat (American Mathematical Society (AMS), 2023-09)
    Article
    Accés obert
    Review of On a radical extension of the field of rational functions in several variables, Xiang-dong Hou and Christopher Sze, Linear and multilinear algebra, 71 (6), (2023), 1015-1025
  • Problèmes de plongement finis sur les corps non commutatifs 

    Vela del Olmo, Maria Montserrat (American Mathematical Society (AMS), 2023)
    Article
    Accés obert
    Review of Problèmes de plongement finis sur les corps non commutatifs, A. Behajaina, B.Deschamps and F. Legrand, Israel Journal of Mathematics, 249, (2022), 617-650.
  • Valuations with an infinite limit-depth 

    Alberich Carramiñana, Maria; Guàrdia Rubies, Jordi; Nart Vinyals, Enric; Roé Vallvé, Joaquim (2023-08-08)
    Article
    Accés restringit per política de l'editorial
    We construct a field K and a valuation-algebraic valuation on K[x] , whose underlying Maclane–Vaquié chain consists of an infinite (countable) number of limit augmentations.
  • Inducing braces and Hopf Galois structures 

    Crespo, Teresa; Gil Muñoz, Daniel; Río Doval, Ana; Vela del Olmo, Maria Montserrat (2023-09-01)
    Article
    Accés obert
    Let p be a prime number and let n be an integer not divisible by p and such that every group of order np has a normal subgroup of order p. (This holds in particular for .) Under these hypotheses, we obtain a one-to-one ...
  • Square-free OM computation of global integral bases 

    Guàrdia Rubies, Jordi; Nart Vinyals, Enric (2022-09-27)
    Article
    Accés obert
    For a prime p, the OM algorithm finds the p-adic factorization of an irreducible polynomial f¿Z[x]¿¿Z[¿] in polynomial time. This may be applied to construct p-integral bases in the number field K defined by f. In this ...
  • Left braces of size 8 p 

    Crespo Vicente, Teresa; Gil Muñoz, Daniel; Río Doval, Ana; Vela del Olmo, Maria Montserrat (2023)
    Article
    Accés obert
    We describe all left braces aof size 8 p for an odd p diferent from 3 and 7.
  • Valuative trees over valued fields 

    Alberich Carramiñana, Maria; Guàrdia Rubies, Jordi; Nart Vinyals, Enric; Roé Vallvé, Joaquim (Elsevier, 2023-01-15)
    Article
    Accés obert
    For an arbitrary valued field (K, v) and a given extension v(K*) ¿¿ ¿ of ordered groups, we analyze the structure of the tree formed by all ¿-valued extensions of v to the polynomial ring K[x]. As an application, we find ...