34 citations · 97 across the 11 of their papers we have counts for
Showing 2014 · math.ACShow all
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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 of monomia…
math.AC2014★ 2 cited
Hilbert series of modules over positively graded polynomials rings
Lukas Katthän, Julio José Moyano-Fernández, Jan Uliczka
In this note, we give examples of formal power series satisfying certain conditions that cannot be realized as Hilbert series of finitely generated modules. This answers to the neg…
math.AC2014★ 2 cited
The behavior of Stanley depth under polarization
Bogdan Ichim, Lukas Katthän, Julio José Moyano-Fernández
Let be a field, be the polynomial ring and two monomial ideals in . In this paper we show that $\mathrm{sdepth}\ {I/J} - \mathrm{depth}…