6 citations · 10 across the 3 of their papers we have counts for
5 papers
Hilbert Functions of -Stable Artinian Gorenstein Algebras
Anthony V. Geramita, Andrew H. Hoefel, David L. Wehlau
We describe the graded characters and Hilbert functions of certain graded artinian Gorenstein quotients of the polynomial ring which are also representations of the symmetric group…
Symbolic Powers of Monomial Ideals
Susan M. Cooper, Robert J. D. Embree, Huy Tài Hà +1
We investigate symbolic and regular powers of monomial ideals. For a square-free monomial ideal in we show is a subset of $M^{(t-1)(e-…
Linear Quotients of the Square of the Edge Ideal of the Anticycle
Andrew H. Hoefel, Gwyneth Whieldon
Let be a graph with chordal complement and its edge ideal. From work of Herzog, Hibi, and Zheng, it is known that has linear quotients and all of its powers have…
Gotzmann squarefree ideals
Andrew H. Hoefel, Jeff Mermin
We classify the squarefree ideals which are Gotzmann in a polynomial ring.
Gotzmann Edge Ideals
Andrew H. Hoefel
Let P = k[x_1, ..., x_n] be the polynomial ring in n variables. A homogeneous ideal I of P generated in degree d is called Gotzmann if it has the smallest possible Hilbert function…