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Original Articles

MCD-finite Domains and Ascent of IDF Property in Polynomial Extensions

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Pages 3865-3872 | Received 10 Nov 2017, Published online: 08 Feb 2018

References

  • Anderson, D. D., Mullins, B. (1996). Finite factorization domains. Proc. Am. Math. Soc. 124(2):389–396.
  • Anderson, D. D., Anderson, D. F., Zafrullah, M. (1990). Factorization in integral domains. J. Pure Appl. Algebra 69(1):1–19.
  • Brandis, A. (1965). Über die multiplikative Struktur von Körpererweiterungen. Math. Z. 87:71–73.
  • Brewer, J. W., Rutter, E. A. (1976). D + M constructions with general overrings. Michigan Math. J. 23(1):33–42.
  • Cohn, P. M. (1968). Bezout rings and their subrings. Proc. Cambridge Philos. Soc. 64:251–264.
  • Costa, D., Mott, J., Zafrullah, M. (1986). Overrings and dimensions of general D + M constructions. J. Nat. Sci. Math. 26(2):7–13.
  • Coykendall, J., Mammenga, B. J. (2011). An embedding theorem. J. Algebra 325:177–185.
  • Coykendall, J., Zafrullah, M. (2004). AP-domains and unique factorization. J. Pure Appl. Algebra 189(1–3):27–35.
  • Coykendall, J., Dobbs, D. E., Mullins, B. (1999). On integral domains with no atoms. Commun. Algebra 27(12):5813–5831.
  • Gilmer, R. (1984). Commutative Semigroup Rings. Chicago Lectures in Mathematics. Chicago, IL: University of Chicago Press.
  • Grams, A., Warner, H. (1975). Irreducible divisors in domains of finite character. Duke Math. J. 42:271–284.
  • Herzog, J., Hibi, T. (2011). Monomial Ideals. Graduate Texts in Mathematics, Vol. 260. London: Springer-Verlag London, Ltd.
  • Malcolmson, P., Okoh, F. (2009). Polynomial extensions of IDF-domains and of IDPF-domains. Proc. Am. Math. Soc. 137(2):431–437.
  • Rand, A. (2015). Multiplicative subsets of atoms. Int. Electron. J. Algebra 18:107–116.
  • Roitman, M. (1993). Polynomial extensions of atomic domains. J. Pure Appl. Algebra 87(2):187–199.
  • Zafrullah, M. (1987). On a property of pre-Schreier domains. Comm. Algebra 15(9):1895–1920.

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