Showing 2002Show all
2 papers · 1 filter
math.AC2002
A generalization of tight closure and multiplier ideals
Nobuo Hara, Ken-ichi Yoshida
We introduce a new variant of tight closure associated to any fixed ideal $\a$, which we call $\a$-tight closure, and study various properties thereof. In our theory, the annihilat…
math.AC2002
On a generalization of test ideals
Nobuo Hara, Shunsuke Takagi
The test ideal of a ring of prime characteristic is an important object in the theory of tight closure. In this paper, we study a generalization of the test ideal, which…