Unique factorizacion in cyclotomic integers of degree seven

• Autores: W. Ethan Duckwoth
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 39, Nº. 4, 2008, págs. 473-490
• Idioma: inglés
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• Resumen

  • 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.