Proves J^{s+t} ⊆ τ(J^{s-ε}) τ(J^{t-ε}) in diagonally F-split rings and obtains novel symbolic power containments such as P^{(2hn)} ⊆ P^n for primes P of height h.
Schwede, Test ideals in non- Q - G orenstein rings , Trans.\ Amer.\ Math.\ Soc.\ 363 (2011), no
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Diagonal F-splitting and Symbolic Powers of Ideals
Proves J^{s+t} ⊆ τ(J^{s-ε}) τ(J^{t-ε}) in diagonally F-split rings and obtains novel symbolic power containments such as P^{(2hn)} ⊆ P^n for primes P of height h.