Non-Archimedean f-rings need not be p-distributive. Moreover, if {di|i} is a subset of a non-Archimedean f-ring and a ≥ 0, the elements a vi di and vi adi need not be equal. We prove, however, that the difference is an infinitely small element when the ring has a strong unity.
@article{urn:eudml:doc:38825,
title = {A note on the p-distributivity in non-Archimedean f-rings.},
journal = {Stochastica},
volume = {4},
year = {1980},
pages = {169-172},
zbl = {0453.06014},
mrnumber = {MR0599139},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38825}
}
Trías Pairó, Joan. A note on the p-distributivity in non-Archimedean f-rings.. Stochastica, Tome 4 (1980) pp. 169-172. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38825/