Bogdan Ichim

activity

20052022

most citedOn toric face rings

27 citations · 68 across the 17 of their papers we have counts for

collaborators

Showing 2014 · math.ACShow all

3 papers · 2 filters

math.AC2014

Lcm-lattices and Stanley depth: a first computational approach

Bogdan Ichim, Lukas Katthän, Julio José Moyano-Fernández

Let $K$ be a field, and let $S = K [X_{1}, ..., X_{n}]$ be the polynomial ring. Let $I$ be a monomial ideal of $S$ with up to 5 generators. In this paper, we present a c…

math.AC2014★ 15 cited

Stanley depth and the lcm-lattice

Bogdan Ichim, Lukas Katthän, Julio José Moyano-Fernández

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 $I / J$ of monomia…

math.AC2014★ 2 cited

The behavior of Stanley depth under polarization

Bogdan Ichim, Lukas Katthän, Julio José Moyano-Fernández

Let $K$ be a field, $R = K [X_{1}, ..., X_{n}]$ be the polynomial ring and $J ⊊ I$ two monomial ideals in $R$ . In this paper we show that $\mathrm{sdepth}\ {I/J} - \mathrm{depth}…