6 citations · 21 across the 13 of their papers we have counts for
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A non-Golod ring with a trivial product on its Koszul homology
Lukas Katthän
We present a monomial ideal such that is not Golod, even though the product on its Koszul homology is trivial. This constitutes a countere…
Betti posets and the Stanley depth
Lukas Katthän
Let be a polynomial ring and let be a monomial ideal. In this short note, we propose the conjecture that the Betti poset of determines the Stanley projectiv…
A Canonical module characterization of Serre's
Lukas Katthän, Kohji Yanagawa
In this short note, we give a characterization of domains satisfying Serre's condition in terms of their canonical modules. In the special case of toric rings, thi…
The Golod property for Stanley-Reisner rings in varying characteristic
Lukas Katthän
We show that the Golod property of a Stanley-Reisner ring can depend on the characteristic of the base field. More precisely, for every finite set of prime numbers we construct…