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math.AC2015★ 5 cited
Alexander duality for monomial ideals associated with isotone maps between posets
Juergen Herzog, Ayesha Asloob Qureshi, Akihiro Shikama
For a pair of finite posets the generators of the ideal correspond bijectively to the isotone maps from to . In this note we determine all pairs for…
math.AC2015★ 2 cited
Algebraically rigid simplicial complexes and graphs
Klaus Altmann, Mina Bigdeli, Juergen Herzog +1
We call a simplicial complex algebraically rigid if its Stanley-Reisner ring admits no nontrivial infinitesimal deformations, and call it inseparable if does not allow any deformat…