It's the same in the U.S. A trademark is always tied to specific goods and/or services. In general, someone else can use the same name/color/design/whatever for

It's the same in the U.S. A trademark is always tied to specific goods and/or services. In general, someone else can use the same name/color/design/whatever for unrelated goods or services so long as the way it's used doesn't cause a "likelihood of confusion" to consumers.