Hi Volna; Welcome to the Forums. I say: I work for Apple (Computers). Don't use the definite article with a company name (or "company") unless it is part of the name.
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volnathank you. I found a text where they use the article:"The organization Alfa Bank, a subject of public interest..... ". So, I presume, in this case , it can be .....In this case, the determiner the is used with the noun organization, and not with the company name - Alfa Bank.