Listar por autoría "aaaafe67-5bfb-4327-8082-93fcebe7d769"

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    • openAccess   How to compute the Stanley depth of a module 

      Ichim, Bogdan; Katthan, Lukas; Moyano-Fernández, Julio José American Mathematical Society (2017)
      In this paper we introduce an algorithm for computing the Stanleydepth of a finitely generated multigraded module M over the polynomialring K[X1,...,Xn]. As an application, we give an example of a module whoseStanley depth ...

    • openAccess   LCM Lattices and Stanley Depth: A First Computational Approach 

      Ichim, Bogdan; Katthän, Lukas; Moyano-Fernández, Julio José Taylor & Francis (2015-10)
      Let K be a field, and let S D K [X1, . . . ,Xn] be the polynomial ring. Let / be a monomial ideal of S with up to 5 generators. In this paper, we present a computational experiment which allows us to prove that depthS ...

    • openAccess   On the score sheets of a round-robin football tournament 

      Ichim, Bogdan; Moyano-Fernández, Julio José Elsevier (2017-10)
      The set of (ordered) score sheets of a round-robin football tournament played between n teams together with the pointwise addition has the structure of an affine monoid. In this paper we study (using both theoretical and ...

    • 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   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 − ...