Geodesic
On Continuous Regular Rings
Canadian mathematical bulletin, Tome 4 (1961) no. 1, pp. 63-69

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DOI

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]. 
Utumi, Y. On Continuous Regular Rings. Canadian mathematical bulletin, Tome 4 (1961) no. 1, pp. 63-69. doi: 10.4153/CMB-1961-011-6
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     title = {On {Continuous} {Regular} {Rings}},
     journal = {Canadian mathematical bulletin},
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     year = {1961},
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     number = {1},
     doi = {10.4153/CMB-1961-011-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1961-011-6/}
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