Some remarks about elementary divisor rings

Authors:
Leonard Gillman and Melvin Henriksen

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

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References | Similar Articles | Additional Information

**[1]**R. Arens and I. Kaplansky,*Topological representations of algebras*, Trans. Amer. Math. Soc. vol. 63 (1948) pp. 457-481. MR**0025453 (10:7c)****[2]**L. Gillman and M. Henriksen,*Rings of continuous functions in which every finitely generated ideal is principal*, Trans. Amer. Math. Soc. vol. 82 (1956) pp. 368-393. MR**0078980 (18:9d)****[3]**O. Helmer,*The elementary divisor theorem for certain rings without chain condition*, Bull. Amer. Math. Soc. vol. 49 (1943) pp. 225-236. MR**0007744 (4:185d)****[4]**I. Kaplansky,*Elementary divisors and modules*, Trans. Amer. Math. Soc. vol. 66 (1949) pp. 464-491. MR**0031470 (11:155b)****[5]**J. von Neumann,*On regular rings*, Proc. Nat. Acad. Sci. U.S.A. vol. 22 (1936) pp. 707-713.

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DOI:
https://doi.org/10.1090/S0002-9947-1956-0078979-8

Article copyright:
© Copyright 1956
American Mathematical Society