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Noetherian pairs and hereditarily Noetherian rings

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References

  1. J. T. Arnold andR. Gilmer, Dimension theory of commutative rings without identity. J. Pure Appl. Algebra5, 209–231 (1974).

    Google Scholar 

  2. R. Gilmer, Eleven nonequivalent conditions on a commutative ring. Nagoya Math. J.26, 183–194 (1966).

    Google Scholar 

  3. R. Gilmer, Integral domains with Noetherian subrings. Comment. Math. Helv.45, 129–134 (1970).

    Google Scholar 

  4. R. Gilmer andW. Heinzer, Some countability conditions on commutative ring extensions. Trans. Amer. Math. Soc.264, 217–234 (1981).

    Google Scholar 

  5. R. Gilmer andJ. Ohm, Primary ideals and valuation ideals. Trans. Amer. Math. Soc.117, 237–250 (1965).

    Google Scholar 

  6. S. Itoh,Z-transforms and Noetherian pairs. Hiroshima Math. J.10, 375–379 (1980).

    Google Scholar 

  7. M.Nagata, Local rings. New York 1962.

  8. A. Wadsworth, Pairs of domains where all intermediate domains are Noetherian. Trans. Amer. Math. Soc.195, 201–211 (1974).

    Google Scholar 

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The first author received partial support from National Science Foundation Grant 8122095.

The second author received partial support from National Science Foundation Grant 8002201.

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Gilmer, R., Heinzer, W. Noetherian pairs and hereditarily Noetherian rings. Arch. Math 41, 131–138 (1983). https://doi.org/10.1007/BF01196868

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  • DOI: https://doi.org/10.1007/BF01196868

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