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On a class of regular rings that are elementary divisor rings. (English) Zbl 0257.16015


MSC:

16E50 von Neumann regular rings and generalizations (associative algebraic aspects)
16S50 Endomorphism rings; matrix rings
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References:

[1] R. F. Arens andI. Kaplansky, Topological representations of algebras. Trans. Amer. Math. Soc.63, 457-481 (1948).
[2] G. Ehrlich, Unit-regular rings. Portugal. Math.27, 209-212 (1969). · Zbl 0201.03901
[3] L. Fuchs, On a substitution property for modules. Monatsh. Math.75, 198-204 (1971). · Zbl 0225.16013
[4] L. Gillman andM. Henriksen, Some remarks on elementary divisor rings. Trans. Amer. Math. Soc.82, 362-365 (1956). · Zbl 0073.02203
[5] I. Kaplansky, Elementary divisors and modules. Trans. Amer. Math. Soc.66, 464-491 (1949). · Zbl 0036.01903
[6] I. Kaplansky, Topological representations of algebras II. Trans. Amer. Math. Soc.68, 62-75 (1950). · Zbl 0035.30301
[7] J.Lambek, Lectures on Rings and Modules. Waltham 1966. · Zbl 0143.26403
[8] P.Ribenboim, Rings and Modules. New York 1969. · Zbl 0198.05601
[9] L. N. Vasershtein, Stable ranks of rings and dimensionality of topological spaces. Functional Anal. Appl.5, 17-27 (1971); translation 102-110. · Zbl 0239.16028
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