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Euclidean Quotient Rings of Z[√−5] Cover

References

  1. [1] S. Alaca and K. Williams, Algebraic Number Theory, Cambridge University Press, 2004.
  2. [2] O.A. Campoli, A principal ideal domain that is not a Euclidean domain, Amer. Math. Monthly 95 (1988), 868-87110.1080/00029890.1988.11972105
  3. [3] R. Gilmer, Multiplicative Ideal Theory, Marcel Dekker, New York, 1972.
  4. [4] F. Lemmermeyer, The Euclidean algorithm in algebraic number fields, Expositiones Mathematicae 13 (1995), 385-416.
  5. [5] H. W. Lenstra, On Artin's conjecture and Euclids algorithm in global fields, Invent. Math. 42 (1977), 201-224.10.1007/BF01389788
  6. [6] P. Samuel, Unique factorization, Amer. Math. Monthly 75 (1968), 945-952.10.1080/00029890.1968.11971097
DOI: https://doi.org/10.2478/auom-2014-0010 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 121 - 125
Submitted on: Aug 1, 2013
Accepted on: Sep 1, 2013
Published on: Dec 10, 2014
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2014 Tiberiu Dumitrescu, Alexandru Gica, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.