Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

A completion of ℤ is a field

José E. Marcos — 2003

Czechoslovak Mathematical Journal

We define various ring sequential convergences on ℤ and ℚ . We describe their properties and properties of their convergence completions. In particular, we define a convergence 𝕃 1 on ℤ by means of a nonprincipal ultrafilter on the positive prime numbers such that the underlying set of the completion is the ultraproduct of the prime finite fields ℤ / ( p ) . Further, we show that ( ℤ , 𝕃 1 * ) is sequentially precompact but fails to be strongly sequentially precompact; this solves a problem posed by D. Dikranjan.

Page 1

Download Results (CSV)