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On a class of regular rings that are elementary divisor rings

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References

  1. R. F. Arens andI. Kaplansky, Topological representations of algebras. Trans. Amer. Math. Soc.63, 457–481 (1948).

    Google Scholar 

  2. G. Ehrlich, Unit-regular rings. Portugal. Math.27, 209–212 (1969).

    Google Scholar 

  3. L. Fuchs, On a substitution property for modules. Monatsh. Math.75, 198–204 (1971).

    Google Scholar 

  4. L. Gillman andM. Henriksen, Some remarks on elementary divisor rings. Trans. Amer. Math. Soc.82, 362–365 (1956).

    Google Scholar 

  5. I. Kaplansky, Elementary divisors and modules. Trans. Amer. Math. Soc.66, 464–491 (1949).

    Google Scholar 

  6. I. Kaplansky, Topological representations of algebras II. Trans. Amer. Math. Soc.68, 62–75 (1950).

    Google Scholar 

  7. J.Lambek, Lectures on Rings and Modules. Waltham 1966.

  8. P.Ribenboim, Rings and Modules. New York 1969.

  9. L. N. Vasershtein, Stable ranks of rings and dimensionality of topological spaces. Functional Anal. Appl.5, 17–27 (1971); translation 102–110.

    Google Scholar 

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Henriksen, M. On a class of regular rings that are elementary divisor rings. Arch. Math 24, 133–141 (1973). https://doi.org/10.1007/BF01228189

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