Explicit expressions for the (n Ο© 1) primitive idempotents in FG (the group algebra of the cyclic group G of order p n (p odd prime, n ΟΎ 1) over the finite field F of prime power order q where q is a primitive root modulo p n ) are obtained. The minimum distance, the dimension, and the generating po
β¦ LIBER β¦
Localization at collections of minimal primes
β Scribed by Ann K Boyle; Karl A Kosler
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 915 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0021-8693
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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