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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Rings in which the unique primary decomposition theorem holds
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by Robert W. Gilmer PDF
Proc. Amer. Math. Soc. 14 (1963), 777-781 Request permission
References
  • Keizo Asano, Über kommutative Ringe, in denen jedes Ideal als Produkt von Primidealen darstellbar ist, J. Math. Soc. Japan 3 (1951), 82–90 (German). MR 43769, DOI 10.2969/jmsj/00310082
  • I. S. Cohen, Commutative rings with restricted minimum condition, Duke Math. J. 17 (1950), 27–42. MR 33276
  • Shinziro Mori, Ueber eindeutige Reduktion von Idealen in Ringen ohne Teilerkettensatz, Hiroshima J. cei. 3 (1933), 275-318.
  • Noboru Nakano, Über die Umkehrbarkeit der Ideale im Integritätsbereiche, Proc. Imp. Acad. Tokyo 19 (1943), 230–234 (German). MR 14071
  • B. L. van der Waerden, Modern algebra, Vol. II, 2nd ed., Ungar, New York, 1950.
  • Oscar Zariski and Pierre Samuel, Commutative algebra, Volume I, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, New Jersey, 1958. With the cooperation of I. S. Cohen. MR 0090581
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Additional Information
  • © Copyright 1963 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 14 (1963), 777-781
  • MSC: Primary 13.15
  • DOI: https://doi.org/10.1090/S0002-9939-1963-0153693-8
  • MathSciNet review: 0153693