Abstract
O *-rings were introduced by Fuchs and recently characterized by Steinberg. A ring R is called O * if every partial order on R extends to a total order. We weaken the condition on the ordering of the ring by requiring that every partial order on R extends to an f-order. We call those rings F *-rings. We show that the two classes of rings coincide.
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Ma, J., Wojciechowski, P.J. F*-Rings Are O*. Order 17, 125–128 (2000). https://doi.org/10.1023/A:1006427508206
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DOI: https://doi.org/10.1023/A:1006427508206