• 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   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 ...