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Year 2018, , 153 - 156, 11.01.2018
https://doi.org/10.24330/ieja.373657

Abstract

References

  • N. Epstein and J. Shapiro, Perinormality-a generalization of Krull domains, J. Algebra, 451 (2016), 65-84.
  • N. Epstein and J. Shapiro, Perinormality in pullbacks, to appear in J. Commut. Algebra, https://projecteuclid.org/euclid.jca/1491379230, arXiv:1511.06473v2 [math.AC].
  • M. D. Fried and M. Jarden, Field Arithmetic, Results in Mathematics and Related Areas (3), 11, Springer-Verlag, Berlin, 1986.
  • R. Gilmer, Multiplicative Ideal Theory, Pure and Applied Mathematics, 12, Marcel Dekker, Inc., New York, 1972.

Perinormal polynomial domains

Year 2018, , 153 - 156, 11.01.2018
https://doi.org/10.24330/ieja.373657

Abstract

Let A be a domain. We relate the perinormality (as de ned by
Epstein and Shapiro) of A and A[X] for a narrow class of Noetherian domains.

References

  • N. Epstein and J. Shapiro, Perinormality-a generalization of Krull domains, J. Algebra, 451 (2016), 65-84.
  • N. Epstein and J. Shapiro, Perinormality in pullbacks, to appear in J. Commut. Algebra, https://projecteuclid.org/euclid.jca/1491379230, arXiv:1511.06473v2 [math.AC].
  • M. D. Fried and M. Jarden, Field Arithmetic, Results in Mathematics and Related Areas (3), 11, Springer-Verlag, Berlin, 1986.
  • R. Gilmer, Multiplicative Ideal Theory, Pure and Applied Mathematics, 12, Marcel Dekker, Inc., New York, 1972.
There are 4 citations in total.

Details

Journal Section Articles
Authors

Tiberiu Dumitrescu This is me

Anam Rani This is me

Publication Date January 11, 2018
Published in Issue Year 2018

Cite

APA Dumitrescu, T., & Rani, A. (2018). Perinormal polynomial domains. International Electronic Journal of Algebra, 23(23), 153-156. https://doi.org/10.24330/ieja.373657
AMA Dumitrescu T, Rani A. Perinormal polynomial domains. IEJA. January 2018;23(23):153-156. doi:10.24330/ieja.373657
Chicago Dumitrescu, Tiberiu, and Anam Rani. “Perinormal Polynomial Domains”. International Electronic Journal of Algebra 23, no. 23 (January 2018): 153-56. https://doi.org/10.24330/ieja.373657.
EndNote Dumitrescu T, Rani A (January 1, 2018) Perinormal polynomial domains. International Electronic Journal of Algebra 23 23 153–156.
IEEE T. Dumitrescu and A. Rani, “Perinormal polynomial domains”, IEJA, vol. 23, no. 23, pp. 153–156, 2018, doi: 10.24330/ieja.373657.
ISNAD Dumitrescu, Tiberiu - Rani, Anam. “Perinormal Polynomial Domains”. International Electronic Journal of Algebra 23/23 (January 2018), 153-156. https://doi.org/10.24330/ieja.373657.
JAMA Dumitrescu T, Rani A. Perinormal polynomial domains. IEJA. 2018;23:153–156.
MLA Dumitrescu, Tiberiu and Anam Rani. “Perinormal Polynomial Domains”. International Electronic Journal of Algebra, vol. 23, no. 23, 2018, pp. 153-6, doi:10.24330/ieja.373657.
Vancouver Dumitrescu T, Rani A. Perinormal polynomial domains. IEJA. 2018;23(23):153-6.