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Algebraic Numbers

Formalized Mathematics
Volume 24 (2016): Issue 4 (December 2016)
By:
Open Access
|Feb 2017

References

  1. [1] Michael Francis Atiyah and Ian Grant Macdonald. Introduction to Commutative Algebra, volume 2. Addison-Wesley Reading, 1969.
    Search in Google ScholarBack to article
  2. [2] Jonathan Backer, Piotr Rudnicki, and Christoph Schwarzweller. Ring ideals. Formalized Mathematics, 9(3):565–582, 2001.
    Search in Google ScholarBack to article
  3. [3] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41–46, 1990.
    Search in Google ScholarBack to article
  4. [4] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107–114, 1990.
    Search in Google ScholarBack to article
  5. [5] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1): 55–65, 1990.
    Search in Google ScholarBack to article
  6. [6] Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335–342, 1990.
    Search in Google ScholarBack to article
  7. [7] Hideyuki Matsumura. Commutative Ring Theory. Cambridge University Press, 2nd edition, 1989. Cambridge Studies in Advanced Mathematics.
    Search in Google ScholarBack to article
  8. [8] Robert Milewski. The ring of polynomials. Formalized Mathematics, 9(2):339–346, 2001.
    Search in Google ScholarBack to article
  9. [9] Robert Milewski. The evaluation of polynomials. Formalized Mathematics, 9(2):391–395, 2001.
    Search in Google ScholarBack to article
  10. [10] Masayoshi Nagata. Theory of Commutative Fields, volume 125. American Mathematical Society, 1985. Translations of Mathematical Monographs.
    Search in Google ScholarBack to article
  11. [11] Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1 (2):329–334, 1990.
    Search in Google ScholarBack to article
  12. [12] Wojciech A. Trybulec. Non-contiguous substrings and one-to-one finite sequences. Formalized Mathematics, 1(3):569–573, 1990.
    Search in Google ScholarBack to article
  13. [13] Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291–296, 1990.
    Search in Google ScholarBack to article
  14. [14] Oscar Zariski and Pierre Samuel. Commutative Algebra I. Springer, 2nd edition, 1975.
    Search in Google ScholarBack to article
DOI: https://doi.org/10.1515/forma-2016-0025 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
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Language: English
Page range: 291 - 299
Submitted on: Dec 15, 2016
Published on: Feb 23, 2017
Published by: University of Białystok, Department of Pedagogy and Psychology
In partnership with: Paradigm Publishing Services
Publication frequency: 1 times per year
Keywords:
algebraic number,
integral dependency
Related subjects:
Computer sciences,
Computer sciences, other,
Mathematics,
General mathematics

© 2017 Yasushige Watase, published by University of Białystok, Department of Pedagogy and Psychology
This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License.

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