A formula for computing the Big Cohen-Macaulay test ideal for monomial ideals of mixed characteristic toric schemes. Of particular interest is that this formula is consistent with the formula for the multiplier ideal and test ideal in equal characteristic.

Documentation for the TestIdeals package for Macaulay2.

We give a closed formula for the generalized Hilbert-Kunz function of 2 x 2 determinental rings in arbitrary characteristic.