Let R be a ring. Let x ∈ R. Assume
- R is a normal Noetherian domain,
 - R/xR is a Japanese domain,
 - R = lim R/xnR is complete with respect to x.
 
Then R is Japanese. See Tag 032P.
			
			
									
			
			
	Let R be a ring. Let x ∈ R. Assume
Then R is Japanese. See Tag 032P.