ℝ_nℤthemΘ completion of ℚ_nℤ

Abstract

This note intends to stay the commutativity of the following diagram An algebraic construction of R nZ as a mH completion of Q nZ , in the same way that R is the completion of Q. The construction yields two concrete examples of mH quasi-fi elds: QnZ , R nZ who are not at all mH fi nite fi elds as previously known [1](9). C # is not totaly ordered.