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On Continuous Regular Rings

Published online by Cambridge University Press:  20 November 2018

Y. Utumi
Y. Utumi*
Affiliation:
Osaka Women' s University and McGill University
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A subset K of a lattice is said to be directed if for any a, b∊K there is c∊K with c ≥ a, b. A complete lattice L is called upper continuous if for every directed subset (aα) and every element b.

The following is a slight improvement of [4; Anmerkung 1. 11, p. 11].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 4 , Issue 1 , January 1961 , pp. 63 - 69
Copyright
Copyright © Canadian Mathematical Society 1961

References

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4. Maeda, F., Kontinuierliche Geometrien (Springer, 1958).Google Scholar
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7. Utumi, Y., On continuous regular rings and semi-simple self injective rings, Canad. J. Math. 12 (1960), 597–605. Google Scholar