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Articles

A Short Proof that Rational Algebraic Integers are Integers

Pages 284-285 | Received 11 Aug 2022, Accepted 09 Oct 2022, Published online: 22 Apr 2024

References

  • Lawlor GR. A simple proof that nth roots are always integers or irrational. Math Mag. 2022;95(4):332. DOI: 10.1080/0025570X.2022.2094628.
  • Ireland K, Rosen M. A classical introduction to modern number theory. 2nd ed. Vol. 84, Graduate texts in mathematics. New York (NY): Springer-Verlag; 1990,
  • Marcus DA. Number fields. 2nd ed. New York: Springer; 2018.
  • Gilat D. Gauss’s lemma and the irrationality of roots, revisited. Math Mag. 2012;85(2):114–116. DOI: 10.4169/math.mag.85.2.114.
  • Lawlor GR. An eigenargument for irrational roots. College Math J. 2021;52(2):140–141. DOI: 10.1080/07468342.2021.186926.

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