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ERIC Number: EJ799424
Record Type: Journal
Publication Date: 2008-Jun
Pages: 18
Abstractor: As Provided
Reference Count: 22
ISSN: ISSN-0020-739X
Unique Factorization in Cyclotomic Integers of Degree Seven
Duckworth, W. Ethan
International Journal of Mathematical Education in Science and Technology, v39 n4 p473-490 Jun 2008
This article provides a survey of some basic results in algebraic number theory and applies this material to prove that the cyclotomic integers generated by a seventh root of unity are a unique factorization domain. Part of the proof uses the computer algebra system Maple to find and verify factorizations. The proofs use a combination of historic and modern techniques and some attempt has been made to discuss the history of this material. (Contains 4 tables and 5 notes.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A