146 citations · 377 across the 33 of their papers we have counts for
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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…
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…
The coordinate ring of a simple polyomino
Juergen Herzog, Sara Saeedi Madani
In this paper it is shown that a polyomino is balanced if and only if it is simple. As a consequence one obtains that the coordinate ring of a simple polyomino is a normal Cohen-Ma…
Determinantal Facet Ideals
Viviana Ene, Juergen Herzog, Takayuki Hibi +1
We consider ideals generated by general sets of -minors of an -matrix of indeterminates. The generators are identified with the facets of an -dimensional pure…
Ideals generated by adjacent 2-minors
Juergen Herzog, Takayuki Hibi
Ideals generated by adjacent 2-minors are studied. First, the problem when such an ideal is a prime ideal as well as the problem when such an ideal possesses a quadratic Gröbner ba…
Gröbner bases of syzygies and Stanley depth
Gunnar Floystad, Juergen Herzog
Let F. be a any free resolution of a Z^n-graded submodule of a free module over the polynomial ring K[x_1, ..., x_n]. We show that for a suitable term order on F., the initial modu…