Additional Information
| Author(s) | Juras, Martin, Ursul, Mihail |
|---|
Notes on topological rings
Mihail Ursul ♦ Martin Juras
Abstract
carpathian_2013_29_2_267_273_abstractWe 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.
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