as being my registrar in this instance
Hostway is not, per se, a registrar.
http://www.help.hostway.com/documents/faq_domainnameregs.htm#question11
What is a registrar? Who is ICANN?
A registrar is a company that has been licensed by ICANN to register domain names for the public. Hostway currently works with AAAQ and DomainPeopel, ICANN-accredited registrars, to process domain name registrations.
ICANN stands for The Internet Corporation for Assigned Names and Numbers. It is a non-profit organization composed of various stakeholders in the Internet space and governs domain name registrations.
Who are AAAQ and DomainPeople?
AAAQ and DomainPeople are the domain name registrars Hostway has partnered with to process domain name registrations. On the Whois record for your domain name, AAAQ or DomainPeople will be listed as the domain name registrar. In particular, DomainPeople is the registrar for .info, .pro, and .us domain names.
A lot of synchronization issues can arise when you are trying to register a domain name through an entity which is not, itself, a registrar. They may queue registration requests for later processing, or they may otherwise not have live access to the registry.
Couple that with the potential of spyware or other information leaks, such as perhaps entering the key term into various search engines, and it may have been an action of your own which was picked up by Belgiumdomains as part of a domain-tasting input feed. Your subsequent visits to the page may have been enough traffic for Belgiumdomains' system to decide to keep the name for the full term.
Whatever you do, stop visiting the domain name.
Everyone should be using adaware/spybot/whatever to check their systems on a regular basis, and shouldn't be using whatever flavor of "gee-whiz toolbar" that someone wants to install as a browser add-on.