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Gaussian Integers Cover

Gaussian Integers

Formalized Mathematics
Volume 21 (2013): Issue 2 (June 2013)
By: ,  ,   and    
Open Access
|Jun 2013
References

References

  1. [1] Grzegorz Bancerek. Cardinal numbers., 1():377-382, 1990.
    Search in Google Scholar
  2. [2] Grzegorz Bancerek. Konig’s theorem., 1():589-593, 1990.
    Search in Google Scholar
  3. [3] Grzegorz Bancerek. The ordinal numbers., 1():91-96, 1990.
    Search in Google Scholar
  4. [4] Józef Białas. Group and field definitions., 1():433-439, 1990.
    Search in Google Scholar
  5. [5] Czesław Bylinski. Binary operations., 1():175-180, 1990.
    Search in Google Scholar
  6. [6] Czesław Bylinski. The complex numbers., 1():507-513, 1990.
    Search in Google Scholar
  7. [7] Czesław Bylinski. Functions and their basic properties., 1(): 55-65, 1990.
    Search in Google Scholar
  8. [8] Czesław Bylinski. Functions from a set to a set., 1():153-164, 1990.
    Search in Google Scholar
  9. [9] Czesław Bylinski. Partial functions., 1():357-367, 1990.
    Search in Google Scholar
  10. [10] Czesław Bylinski. Some basic properties of sets., 1():47-53, 1990.
    Search in Google Scholar
  11. [11] Agata Darmochwał. Finite sets., 1():165-167, 1990.
    Search in Google Scholar
  12. [12] Yuichi Futa, Hiroyuki Okazaki, and Yasunari Shidama. Set of points on elliptic curve in projective coordinates., 19():131-138, 2011. doi:10.2478/v10037-011-0021-6.
    Open DOISearch in Google Scholar
  13. [13] Yuichi Futa, Hiroyuki Okazaki, and Yasunari Shidama. Z-modules., 20():47-59, 2012. doi:10.2478/v10037-012-0007-z.
    Open DOISearch in Google Scholar
  14. [14] Andrzej Kondracki. Basic properties of rational numbers., 1(): 841-845, 1990.
    Search in Google Scholar
  15. [15] Eugeniusz Kusak, Wojciech Leonczuk, and Michał Muzalewski. Abelian groups, fields and vector spaces., 1():335-342, 1990.
    Search in Google Scholar
  16. [16] Rafał Kwiatek and Grzegorz Zwara. The divisibility of integers and integer relatively primes., 1():829-832, 1990.
    Search in Google Scholar
  17. [17] Michał Muzalewski. Construction of rings and left-, right-, and bi-modules over a ring., 2():3-11, 1991.
    Search in Google Scholar
  18. [18] Christoph Schwarzweller. The correctness of the generic algorithms of Brown and Henrici concerning addition and multiplication in fraction fields., 6(): 381-388, 1997.
    Search in Google Scholar
  19. [19] Christoph Schwarzweller. The ring of integers, Euclidean rings and modulo integers., 8():29-34, 1999.
    Search in Google Scholar
  20. [20] Christoph Schwarzweller. The field of quotients over an integral domain., 7():69-79, 1998.
    Search in Google Scholar
  21. [21] Andrzej Trybulec. On the sets inhabited by numbers., 11(): 341-347, 2003.
    Search in Google Scholar
  22. [22] Andrzej Trybulec and Czesław Bylinski. Some properties of real numbers., 1():445-449, 1990.
    Search in Google Scholar
  23. [23] Michał J. Trybulec. Integers., 1():501-505, 1990.
    Search in Google Scholar
  24. [24] Wojciech A. Trybulec. Groups., 1():821-827, 1990.
    Search in Google Scholar
  25. [25] Wojciech A. Trybulec. Vectors in real linear space., 1():291-296, 1990.
    Search in Google Scholar
  26. [26] Zinaida Trybulec. Properties of subsets., 1():67-71, 1990.
    Search in Google Scholar
  27. [27] Andr´e Weil.. Springer-Verlag, 1979.
    Open DOISearch in Google Scholar
  28. [28] Edmund Woronowicz. Relations and their basic properties., 1 ():73-83, 1990.
    Search in Google Scholar
DOI: https://doi.org/10.2478/forma-2013-0013 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
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Language: English
Page range: 115 - 125
Published on: Jun 1, 2013
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Keywords:
formalization of Gaussian integers,
algebraic integers
Related subjects:
Computer sciences,
Artificial intelligence,
Computer sciences, other,
Mathematics,
Logic and set theory,
General mathematics

© 2013 Yuichi Futa, Hiroyuki Okazaki, Daichi Mizushima, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons License.

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