King of Brands?

Trademarks in parallel classes can be issued in the same geographical area. Dove chocolate and Dove soap are each registered trademarks. each held by different companies. Another example is Apple Corps. Ltd., (begun by The Beatles in January 1968), who later struggled over trademarks with Apple Computer (established April 1976). Of course, the words dove and apple have generic histories & longstanding common usage. Registered trademarks should not be "substantially identical or deceptively similar" to another.

According to WIPO's Nice Classification, there are 45 different explicitly defined classes of goods & services.

Trademark protection is only for one or more designated classes, and only protected in designated nation(s). In neighboring nations, parallel brands might be developed within the same class.

There could be hundreds, even thousands, of legitimate "Dove" products or services. Here's a great posting that discusses such "brand twins" (link). Many firms do business under essentially the same name, but in different fields. Here's a mix of firms named Delta:

Generally, it's important to avoid confusion! Choose a distinctive & unique name to develop as your brand.

Domain names are unique. But there are multiple top level domains (TLD =.com, .net, .org, etc.) and many more country code top-level domain (ccTLD = .uk, .co, .se, .ca, etc.). The king of domain names is the .com domain.

Build category killer advantages by investing in your own great .com domain. There Can Be Only One !
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