8 citations · 18 across the 10 of their papers we have counts for
5 papers · 1 filter
Minimal primes of ideals arising from conditional independence statements
Irena Swanson, Amelia Taylor
We consider ideals arising in the context of conditional independence models that generalize the class of ideals considered by Fink [7] in a way distinct from the generalizations o…
Second symmetric powers of chain complexes
Anders J. Frankild, Sean Sather-Wagstaff, Amelia Taylor
We investigate Buchbaum and Eisenbud's construction of the second symmetric power S^2_R(X) of a chain complex X of modules over a commutative ring R. We state and prove a number of…
Relations between semidualizing complexes
Anders J. Frankild, Sean Sather-Wagstaff, Amelia Taylor
We study the following question: Given two semidualizing complexes B and C over a commutative noetherian ring R, does the vanishing of Ext^n_R(B,C) for n>>0 imply that B is C-refle…
Borel Fixed Initial Ideals of Prime Ideals in Dimension Two
Amelia Taylor
We prove that if the initial ideal of a prime ideal is Borel-fixed and the dimension of the quotient ring is less than or equal to two, then given any non-minimal associated prime…
Inverse Grobner Basis Problem in Codimension Two
Amelia Taylor
Generic linkage is used to compute a prime ideal such that the radical of the initial ideal of the prime ideal is equal to the radical of a given codimension two monomial ideal tha…