ID | 56333 |
FullText URL | |
Author |
Brown, Stephen C.
Department of Computer Science, Mathematics, Physics and Statistics I.K. Barber School of Arts and Sciences University of British Columbia
Davis, Chad T.
Department of Computer Science, Mathematics, Physics and Statistics I.K. Barber School of Arts and Sciences University of British Columbia
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Abstract | 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.
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Keywords | Cyclic quartic field
Prime ideal factorization
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Note | Mathematics Subject Classification. Primary 11R16; Secondary 11R27.
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Published Date | 2019-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume61
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Issue | issue1
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Publisher | Department of Mathematics, Faculty of Science, Okayama University
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Start Page | 167
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End Page | 172
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ISSN | 0030-1566
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NCID | AA00723502
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Content Type |
Journal Article
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language |
English
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Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University
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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol59/iss1/10
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