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Regularity Criterion of Noetherian Local Rings of Prime Characteristic

✍ Scribed by Mamoru Furuya; Hiroshi Niitsuma

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
124 KB
Volume
247
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let R be a local ring of essentially finite type over a field k of characteristic p > 0. We introduce the concept of p n -bases for an integer n > 0, and the notions of an n-admissible field for R/k and of a t -admissible field for R/k. For such a local ring R we give regularity criteria in terms of the higher differential algebra and of a p n -basis, respectively.

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