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Original Articles

On domains with properties weaker than atomicity

Pages 1862-1868 | Received 13 Oct 2016, Accepted 23 Aug 2018, Published online: 22 Feb 2019

References

  • Anderson, D. D., Anderson, D. F., Zafrullah, M. (1990). Factorization in integral domains. J. Pure Appl. Algebra. 69(1):1–19.
  • Boynton, J. G., Coykendall, J. (2015). On the graph of divisibility of an integral domain. Can. Math. Bull. 58(3):449–458.
  • Clark, P. L. (2017). The Euclidean criterion for irreducibles. Am. Math. Mon. 124(3):198–216.
  • Cohn, P. M. (1968). Bézout rings and their subrings. Math. Proc. Camb. Phil. Soc. 64(2):251–264.
  • Coykendall, J., Dobbs, D. E., Mullins, B. (1999). On integral domains with no atoms. Commun. Algebra. 27(12):5813–5831.
  • Cutkosky, S. D. (2004). Resolution of Singularities, AMS Graduate Studies in Mathematics, Vol. 63. Providence, RI: American Mathematical Society.
  • Furstenberg, H. (1955). On the infinitude of primes. Am. Math. Mon. 62(5):353.
  • Kaplansky, I. (1974). Commutative Rings. Chicago, IL: University of Chicago Press.
  • Krull, W. (1932). Allgemeine bewertungstheorie. J. Reine Angew. Math. 1932(167):160–196.

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