Rings in which the unique primary decomposition theorem holds
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- by Robert W. Gilmer
- Proc. Amer. Math. Soc. 14 (1963), 777-781
- DOI: https://doi.org/10.1090/S0002-9939-1963-0153693-8
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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
Bibliographic 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