I want to know that What's Holding business mean?

And are there any wrong in writing?

Because I can't find any define of Holding Business in every dictionary, there is only define about Holding Company.

Hello, nguyenvan-- and welcome to EF.

Could you please also give us the context that this phrase was in?
Thanks for reply.

My company would like use its for my company's name.

Is it right?
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As you noticed, it is not in the dictionary. It has no meaning to the general reader except as perhaps a variation of 'holding company', so that is what most people will think it is.
So, are there any wrong grammar jn writing " Holding Business"?

Because we want that my company's name is HB.

Thank you very much!
There is no grammar involved; it is simply two words together.
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Thank you for your helping!