38 citations · 84 across the 23 of their papers we have counts for
33 papers
The weak Lefschetz property for Standard graded, Artinian Gorenstein algebras of embedding dimension four and socle degree three
Andrew R. Kustin
Let be an arbitrary field and be a standard graded Artinian Gorenstein -algebra of embedding dimension four and socle degree three. Then, except for exactly on…
Artinian Gorenstein algebras of embedding dimension four and socle degree three over an arbitrary field
Sabine El Khoury, Andrew R. Kustin
Let k be an arbitrary field, A be a standard graded Artinian Gorenstein k-algebra of embedding dimension four and socle degree three, and pi from P to A be a surjective graded homo…
Quadratically presented Gorenstein ideals
Sabine El Khoury, Andrew R. Kustin
Let be a quadratically presented grade three Gorenstein ideal in the standard graded polynomial ring , where is a field. Assume that satisfies the weak L…
Perfect modules with Betti numbers
Andrew R. Kustin
In 2018 Celikbas, Laxmi, Kraśkiewicz, and Weyman exhibited an interesting family of perfect ideals of codimension three, with five generators, of Cohen-Macaulay type two with trivi…
Use DG-methods to build a matrix factorization
Andrew R. Kustin
Let P be a commutative Noetherian ring, K be an ideal of P which is generated by a regular sequence of length four, f be a regular element of P, and Pbar be the hypersurface ring P…
Resolutions of length four which are Differential Graded Algebras
Andrew R. Kustin
Let be a commutative Noetherian ring and be a self-dual acyclic complex of finitely generated free -modules. Assume that has length four and has rank one. We p…