146 citations · 377 across the 33 of their papers we have counts for
36 papers
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…