Many registrars reserve the right to revoke your domain name for specific reasons, typically if you use the domain for illegal purposes or purposes deemed unacceptable (such as spamming). Many contracts contain a clause letting the registrar delete your domain name for no apparent reason. The implication, of course, is that the domain name is the registrar's, not yours.
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While looking at domains, you might come across the name "ICANN" -- the Internet Corporation for Assigned Names and Numbers. This organization accredits some registrars that agree to a set of operational standards, but ICANN accreditation isn't required to sell domains, nor is it necessarily a sign of a company with good customer service. In fact, ICANN plays no role in the sale of many top-level domains, including country-specific domains.
A domain name registration is simply reserving your website's name for a specified period of time. The two parties involved with a domain registration are generally the user who is registering the domain and the domain registrar. The domain registrant is the user who actually registers the domain name and the domain registrar is the company who helps that user with their domain registration.
Under no circumstances should you pay more to transfer a name than to get a new one. Check what the transfer will require. Does the new service handle the task completely? Or do you have to go into your current registrar's site and change the technical details manually? Finally, check the transfer policy of the registrar before registering your domain name.
There is also what is called a ccTLD, or country code top-level domain. These are designed to signify sites located in or associated with certain countries or territories. Most of the ccTLDs actually don't have restrictions regarding who can register domain names. In fact, many ccTLDs are commonly misinterpreted as TLDs. For example, while .tv is commonly registered by television and media related websites, .tv is actually the ccTLD designated for the country Tuvalu. Domain hacks are also a popular use of both TLDs and ccTLDs. This involves creating a full word or phrase when combining the domain name with the TLD to create something your audience will easily remember. A popular example is using the .me ccTLD for Montenegro and combining it with "aweso" to create the domain aweso.me.