2 citations · 2 across the 5 of their papers we have counts for
5 papers
Rainbow Free Colorings and Rainbow Numbers for
Katie Ansaldi, Gabriel Cowley, Eric Green +2
An exact r-coloring of a set is a surjective function . A rainbow solution to an equation over is a solution such that all components ar…
Rainbow Numbers of for
Katie Ansaldi, Houssein El Turkey, Jessica Hamm +3
An exact -coloring of a set is a surjective function . The rainbow number of a set for equation is the smallest integer such that every exact -co…
Generalized Newton Complementary Duals of Monomial Ideals
Katie Ansaldi, Kuei-Nuan Lin, Yi-Huang Shen
Given a monomial ideal in a polynomial ring over a field, we define the generalized Newton complementary dual of the given ideal. We show good properties of such duals including li…
LCM Duals of Monomial Ideals
Katie Ansaldi, Kuei-Nuan Lin
Given a monomial ideal in a polynomial ring over a field, we define the LCM-dual of the given ideal. We show good properties of LCM-duals. Including the isomorphism between the spe…
Regularity of Tor for weakly stable ideals
Katie Ansaldi, Nicholas Clarke, Luigi Ferraro
It is proved that if and are weakly stable ideals in a polynomial ring , with a field, then the regularity of has the exp…