Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Rings in which the unique primary decomposition theorem holds


Author: Robert W. Gilmer
Journal: Proc. Amer. Math. Soc. 14 (1963), 777-781
MSC: Primary 13.15
MathSciNet review: 0153693
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] Keizô Asano, Über kommutative Ringe, in denen jedes Ideal als Produkt von Primidealen darstellbar ist, J. Math. Soc. Japan 3 (1951), 82-90. MR 0043769 (13:313e)
  • [2] I. S. Cohen, Commutative rings with restricted minimum condition, Duke Math. J. 17 (1950), 27-42. MR 0033276 (11:413g)
  • [3] Shinziro Mori, Ueber eindeutige Reduktion von Idealen in Ringen ohne Teilerkettensatz, Hiroshima J. cei. 3 (1933), 275-318.
  • [4] Noburu Nakano, Über die Umkehrbarkeit der Ideale im Integriätsbereiche, Proc. Imp. Acad. Tokyo 19 (1943), 230-234. MR 0014071 (7:236i)
  • [5] B. L. van der Waerden, Modern algebra, Vol. II, 2nd ed., Ungar, New York, 1950.
  • [6] Oscar Zariski and Pierre Samuel, Commutative algebra, Vol. I, The University Series in Higher Mathematics, Van Nostrand, Princeton, N. J., 1958. MR 0090581 (19:833e)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 13.15

Retrieve articles in all journals with MSC: 13.15


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1963-0153693-8
PII: S 0002-9939(1963)0153693-8
Article copyright: © Copyright 1963 American Mathematical Society