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| Autor/in | Duckworth, W. Ethan |
|---|---|
| Titel | Unique Factorization in Cyclotomic Integers of Degree Seven |
| Quelle | In: International Journal of Mathematical Education in Science and Technology, 39 (2008) 4, S.473-490 (18 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 0020-739X |
| Schlagwörter | Number Concepts; Algebra; Mathematics Instruction; Computer Uses in Education; Validity; Mathematical Logic; Numbers; Arithmetic |
| Abstract | 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.) (As Provided). |
| Anmerkungen | Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals/default.html |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2017/4/10 |
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