Adela Vraciu,
Tight Closure in Cubical Cone Rings
We explore some propeties of tight closure in cubical cone
rings, and the connection with Frobenius closure (when the characteristic
is congruent to 2 mod 3). We introduce the special tight closure of an
ideal, and show (for a certain class of rings, containing the cubical
cones) that tight closure is the sum of the special tight closure and the
ideal itself.