Pacific Journal of Mathematics

Algebraic numbers, a constructive development.

W. Julian, R. Mines, and F. Richman

Article information

Source
Pacific J. Math., Volume 74, Number 1 (1978), 91-102.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102810439

Mathematical Reviews number (MathSciNet)
MR487939

Zentralblatt MATH identifier
0371.12001

Subjects
Primary: 03F65: Other constructive mathematics [See also 03D45]
Secondary: 12L05: Decidability [See also 03B25]

Citation

Julian, W.; Mines, R.; Richman, F. Algebraic numbers, a constructive development. Pacific J. Math. 74 (1978), no. 1, 91--102. https://projecteuclid.org/euclid.pjm/1102810439


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References

  • [1] E. Bishop, Foundationsof Constructive Analysis,McGraw-Hill, 1967.
  • [2] G. Hermann, Die Frage der endlich vielen Schritte in der Theorie der Polynomideale, Math. Ann., 95 (1926), 736-788.
  • [3] A. Heyting, IntuitionismAn Introduction, North-HollandPublishing Company, 1971.
  • [4] L. Kronecker, Grundzilge einer arithmetischenTheorie der algebraishen Grossen (section 4), Journal fur die reine und angewandte Mathematik, 92 (1882), 1-122.
  • [5] H. Pollard, The theory of algebraic numbers, Carus Mathematical Monograph 9, MAA, 1950.
  • [6] B. L. van der Waerden, Modern Algebra (section 42), Ungar 1953 (second edition).
  • [7] B. L. van der Waerden, Eine Bemerkung u'berdie Unzerlegbarkeit von Polynomen, Math. Ann., 102 (1930), 738-739.
  • [8] O. Zariski, and P. Samuel, Commutative Algebra, Vol I, Van Nostrand, 1958.