Test Modules of Extended Rees Algebras

Rahul Ajit, Hunter Simper

Given a reduced, local ring $R$ and an ideal $\mathfrak{a}$ of positive height, we give a decomposition of the test module, $\ddot{I}„(\ddot{I}{‰}_T,t^{-\hat{I}»})$, of the extended Rees algebra, $T =R…