22 citations · 26 across the 5 of their papers we have counts for
4 papers · 1 filter
Isotonian Algebras
Mina Bigdeli, Jürgen Herzog, Takayuki Hibi +2
To a pair and of finite posets we attach the toric ring whose generators are in bijection to the isotone maps from to . This class of algebras, called isoto…
Stability of Betti numbers under reduction processes: towards chordality of clutters
Mina Bigdeli, Ali Akbar Yazdan Pour, Rashid Zaare-Nahandi
For a given clutter , let be the circuit ideal in the polynomial ring . In this paper, we show that the Betti numbers of and $I + (…
Toric rings, inseparability and rigidity
Mina Bigdeli, Jürgen Herzog, Dancheng Lu
This article provides the basic algebraic background on infinitesimal deformations and presents the proof of the well-known fact that the non-trivial infinitesimal deformations of…
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…