Rocky Mountain Journal of Mathematics

Weak Bourbaki Unmixed Rings: A Step towards Non-Noetherian Cohen-Macaulayness

Tracy Dawn Hamilton

Full-text: Open access

Article information

Source
Rocky Mountain J. Math., Volume 34, Number 3 (2004), 963-977.

Dates
First available in Project Euclid: 5 June 2007

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1181069837

Digital Object Identifier
doi:10.1216/rmjm/1181069837

Mathematical Reviews number (MathSciNet)
MR2087441

Zentralblatt MATH identifier
1100.13031

Citation

Hamilton, Tracy Dawn. Weak Bourbaki Unmixed Rings: A Step towards Non-Noetherian Cohen-Macaulayness. Rocky Mountain J. Math. 34 (2004), no. 3, 963--977. doi:10.1216/rmjm/1181069837. https://projecteuclid.org/euclid.rmjm/1181069837


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References

  • Winfried Bruns and Jurgen Herzog, Cohen-Macaulay rings, Cambridge Univ. Press, Cambridge, 1993.
  • I.S. Cohen, Lengths of prime ideal chains, Amer. J. Math. 76 (1954), 654-668.
  • Sarah Glaz, Coherence, regularity and homological dimensions of commutative fixed rings, in Commutative algebra (Ngô Viêt Trung, Aron Simis and Giuseppe Valla, eds.), World Scientific, Singapore, 1992, pp. 89-106.
  • --------, Homological dimensions of localizations of polynomial rings, in Zero-dimensional commutative rings, John H. Barrett Memorial Lectures and Conf. on Commutative Ring Theory (David F. Anderson and David E. Dobbs, eds.), Lecture Notes in Pure and Appl. Math., vol. 171, Marcel Dekker, Inc., New York, 1994, pp. 209-222.
  • Harry C. Hutchins, Examples of commutative rings, Polygonal Publishing House, 1981.
  • Juana Iroz and David E. Rush, Associate prime ideals in non-noetherian rings, Canadian J. Math. 36 (1984), 344-360.
  • Irving Kaplansky, Commutative rings, Allyn and Bacon, New York, 1970.
  • Richard A. Kuntz, Associated prime divisors in the sense of Krull, Canadian J. Math. 24 (1972), 808-818.
  • --------, Associated prime divisors in the sense of Noether, Bol. Soc. Mat. Mexicana 18 (1973), 82-88.
  • Francis Sowerby Macaulay, Algebraic theory of modular systems, Cambridge Tracts in Math., Cambridge Univ. Press, Cambridge, 1916.
  • Hideyuki Matsumura, Commutative algebra, Math. Lecture Notes, W.A. Benjamin, New York, 1970.