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Research Articles

Global perinormality in a generalized D + M construction

Pages 3015-3019 | Received 02 Dec 2022, Accepted 24 Jan 2023, Published online: 25 Feb 2023

References

  • Bastida, E., Gilmer, R. (1973). Overrings and divisorial ideals of rings of the form D+M. Michigan Math. J. 20:79–95.
  • Epstein, N., Shapiro, J. (2016). Perinormality - a generalization of Krull domains. J. Algebra 451:65–84. DOI: 10.1016/j.jalgebra.2015.12.002.
  • Epstein, N., Shapiro, J. (2019). Perinormality in pullbacks. J. Commut. Algebra 11(3):341–362.
  • Fontana, M. (1980). Topologically defined classes of commutative rings. Ann. di Mat. Pura ed Appl. 123:331–355. DOI: 10.1007/BF01796550.
  • Fontana, M., Huckaba, J., Papick, I. (1997). Prüfer Domains. New York: Marcel Dekker, Inc.
  • Matsumura, H. (1986). Commutative Ring Theory. Cambridge: Cambridge University Press.
  • Richman, F. (1965). Generalized quotient rings. Proc. Amer. Math. Soc. 16:794–799. DOI: 10.1090/S0002-9939-1965-0181653-1.

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