@article{oai:teapot.lib.ocha.ac.jp:00035127,
 author = {Inaba, Eizi and 稲葉, 栄次},
 journal = {お茶の水女子大學自然科學報告},
 month = {Jul},
 note = {application/pdf, 紀要論文, A real-valued function V(a) of a field k is a non-archimedean valuation V of k, if the relations V(ab)=V(a)+V(b) and V(a+b)≧Min {V(a), V(b)} hold, where we put V(0)=∞. The set of all elements a with V(a)≧0 is the valution ring R in k. All elements a with V(a)>0 form a prime ideal P in R. A polynomial f(x) with coefficients from R is called primitive, if among these coefficients there exists at least one unit. By Ostrowski the field k is termed relatively complete with respect to V, if Hensel's lemma holds for every primitive polynomial. The present note aims to reveal some characteristic properties of this field.},
 pages = {5--9},
 title = {Note on Relatively Complete Fields},
 volume = {3},
 year = {1952}
}