Characterizations of Regular Local Rings in Positive Characteristics
نویسنده
چکیده
In this note, we provide several characterizations of regular local rings in positive characteristics, in terms of the Hilbert-Kunz multiplicity and its higher Tor counterparts ti = lim n→∞ l(Tori(k, f n R))/p . We also apply the characterizations to improve a recent result by Bridgeland and Iyengar in the characteristic p case. Our proof avoids using the existence of big CohenMacaulay modules, which is the major tool in the proof of Bridgeland and Iyengar.
منابع مشابه
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