Some remarks about elementary divisor rings
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- by Leonard Gillman and Melvin Henriksen PDF
- Trans. Amer. Math. Soc. 82 (1956), 362-365 Request permission
References
- Richard F. Arens and Irving Kaplansky, Topological representation of algebras, Trans. Amer. Math. Soc. 63 (1948), 457–481. MR 25453, DOI 10.1090/S0002-9947-1948-0025453-6
- Leonard Gillman and Melvin Henriksen, Rings of continuous functions in which every finitely generated ideal is principal, Trans. Amer. Math. Soc. 82 (1956), 366–391. MR 78980, DOI 10.1090/S0002-9947-1956-0078980-4
- Olaf Helmer, The elementary divisor theorem for certain rings without chain condition, Bull. Amer. Math. Soc. 49 (1943), 225–236. MR 7744, DOI 10.1090/S0002-9904-1943-07886-X
- Irving Kaplansky, Elementary divisors and modules, Trans. Amer. Math. Soc. 66 (1949), 464–491. MR 31470, DOI 10.1090/S0002-9947-1949-0031470-3 J. von Neumann, On regular rings, Proc. Nat. Acad. Sci. U.S.A. vol. 22 (1936) pp. 707-713.
Additional Information
- © Copyright 1956 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 82 (1956), 362-365
- MSC: Primary 09.3X
- DOI: https://doi.org/10.1090/S0002-9947-1956-0078979-8
- MathSciNet review: 0078979