Generally, you must register a trademark in any country where you plan to enforce it. There is also a European Community Mark that covers most of Europe, and also a Madrid Protocol that streamlines registration in a number of countries. A trademark does not have to be registered at all to be protected in the US, but it is much easier to enforce a registration.
If the word is being used as a mark in trade, it can be registered as a trademark in the country or countries where you're doing business, as well as internationally through the World Intellectual Property Organization. The actual process varies from country to country; contact the trademark office for instructions.
You can register it as a trademark in each country in which you intend to do business.
Registering a business name depends on which country one is in. In the UK one can register a name on the 'Trademark Eagle' website. One can also register a name at 'Formations House'.
You can hire someone to design a trade mark or do so yourself. There are certain rules as to what is acceptable as a trademark. Check your government department website for rules. You will then need to register it with the appropriate government department of the country or countries you require. A fee is charged. You can register your trademark internationally to countries that have signed the agreement called the Madrid Protocol at World Intellectual Property Organisation.
It varies from country to country. In the US, fees are $275-$375 for each class in which you register, and most amendments, petitions, etc. are $100 each.
Trademarks are issued by the federal government of the country you're doing business in; in the US, it's the Patent and Trademark Office, which is within the Department of Commerce.
Internationally means something or someone who crosses more than one country. This can refer to a business that has offices in Canada and the United States. That business does work internationally.
France
To determine if a company name has been registered as a trademark, search the registry of the country in which you want to do business (most are available online); the international registry is searchable at the link below.
Any name a company uses for some of its products is a trademark - by the mere fact of using it.You can also get a registered trademark, for more protection. In this case, you have to register your trademark (the name you use, or want to use) with some relevant institution. The details, of course, vary from one country to another.
Upon issuance of the Trademark Certificate legalized by the Trademark Office in that country
A trademark is a mark used in trade, like a business name, logo, or slogan. Although established trademarks are protected without registration, a registered trademark has been submitted to the country's trademark office for addition to the registry.