Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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GENERALIZATIONS OF GREATEST COMMON DIVISORS OF GCD DOMAINS

  • Received : 2017.09.23
  • Accepted : 2017.10.23
  • Published : 2017.11.15
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Abstract

In this paper we study several generalizations of greatest common divisor of GCD domain with always the greatest common divisor.

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References

  1. R. B. Ash, Abstract Algebra: The Basic Graduate Year, electronic copies, 2000.
  2. P. L. Clark, Factorization in integral domains, http://alpha.math.uga.edu/-pete/factorization2010.pdf, preprint.
  3. D. Khurana, On GCD and LCM in domains: A Conjecture of Gauss, Resonance, 8 (2003), 72-79.
  4. https://en.wikipedia.org/wiki/GCD domain