Definitions of domain name registration on the Web:

• A domain name registry, is a database of all domain names registered in a top-level domain. A registry operator, also called a Network Information ...
  en.wikipedia.org/wiki/Domain_name_registration
• The process of alloting a new, specific domain name to an owner.
  www.namesecure.com/pages/web-services-glossary-abcd.jhtml
• We will register and host your domain name on your behalf and ensure that renewal will take place annually
  www.catgraphics.co.za/component/option,com_rd_glossary/Itemid,65/limit,25/limitstart,25/
• To own your preferred domain name, you need to register it on the Internet. This paid service is offered by several websites, who register your domain name, provided it is not taken-up yet by anyone else. ...
  www.goecart.com/domain-name-terms-glossary.asp
• This is the process of registering the domain name with the local naming authority. The rules differ from country to country, some require proof of existance of a company or trademark before registration is allowed.
  sensacom.com/web_glossary.html
• The process of taking ownership of a domain name. Registrations are processed by dozens of registrars approved by ICANN (Internet Corporation for Assigned Names and Numbers). The cost of domain ownership is no more than $35 per year. (Hosting the domain’s Web site is an additional expense. ...
  www.maxdirectory.eu/news/SEO-Terms-n10.html