The Factorization of 2 and 3 in Cyclic Quartic Fields

Autor: Brown, Stephen C., Davis, Chad T.
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Mathematical Journal of Okayama University. 61(1):167-172
ISSN: 0030-1566
Popis: Due to a theorem of Dedekind, factoring ideals generated by prime numbers in number fields is easily done given that said prime number does not divide the index of the field. In this paper, we determine the prime ideal factorizations of both 2 and 3 in cyclic quartic fields whose index is divisible by one of or both of these primes.
Databáze: OpenAIRE