• openAccess   Quantum codes from a new construction of self-orthogonal algebraic geometry codes 

      Hernando, Fernando; McGuire, Gary; Monserrat, Francisco; Moyano-Fernández, Julio José Springer (2020)
      We present new quantum codes with good parameters which are constructed from self-orthogonal algebraic geometry codes. Our method permits a wide class of curves to be used in the formation of these codes. These results ...
    • openAccess   Stanley depth and the lcm-lattice 

      Ichim, Bogdan; Katthän, Lukas; Moyano-Fernández, Julio José Elsevier (2017-08)
      In this paper we show that the Stanley depth, as well as the usual depth, are essentially determined by the lcm-lattice. More precisely, we show that for quotients of monomial ideals , both invariants behave monotonic with ...
    • openAccess   Supersymmetric gaps of a numerical semigroup with two generators 

      Almirón, Patricio; Moyano-Fernández, Julio José Taylor & Francis (2022-04-10)
      In this paper we introduce the new concepts of supersymmetric and self-symmetric gaps of a numerical semigroup with two generators. Those concepts are based on certain symmetries of the gaps of the semigroup with respect ...
    • openAccess   The behavior of Stanley depth under polarization 

      Ichim, Bogdan; Katthän, Lukas; Moyano-Fernández, Julio José Elsevier (2015-10)
      Let K be a field, R = K [ X 1 , ..., X n ]be the polynomial ring and J I be two monomial ideals in R . In this paper we show that sdepth I/J − depth I/J = sdepth I p /J p − ...
    • openAccess   Which series are Hilbert series of graded modules over standard multigraded polynomial rings? 

      Katthän, Lukas; Moyano-Fernández, Julio José; Uliczka, Jan Wiley (2020)
      Consider a polynomial ring 𝑅� with the ℤ𝑛�-grading where the degree of each variableis a standard basis vector. In other words, 𝑅� is the homogeneous coordinate ring ofa product of 𝑛� projective spaces. In this setting, ...