Placeholder

Notes on topological rings


Mihail UrsulMartin Juras


Abstract

carpathian_2013_29_2_267_273_abstract

We prove that every infinite nilpotent ring R admits a ring topology T for which (R, T ) has an open totally bounded countable subring with trivial multiplication. A new example of a compact ring R for which R2 is not closed, is given. We prove that every compact Bezout domain is a principal ideal domain.

Additional Information

Author(s)

Juras, Martin, Ursul, Mihail