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問題ない vs 問題じゃない

From what I understand the negative form of a noun is created with じゃない and
not ない however my textbook uses 問題ない in an example (translated as "no
problem").

Looking elsewhere on the Internet it looks like 問題ない seems to be acceptable
usage but I do not understand _why_ within the rules of the language.
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2016-01-06T13:28:33.057
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2016-01-06T13:53:17.550
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question
set-phrases negation
Is it ok to say 問題ない instead of 問題じゃない? Why?
問題ない does not mean 'It's not a problem', which is what 問題じゃない would mean. You
may be aware that ない is the negative form of ある, 'there is', which means that
問題ない means 'There is no problem.' Note that you can also say 問題はない.
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2016-01-06T13:34:25.247
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問題ない is not negating the noun (that would be 問題じゃない or 問題ではない, as you
correctly noticed). Rather, it is saying 問題 **が** ない (or 問題 **は** ない),
literally "there isn't a problem".

I think you can safely treat 問題ない as a set phrase, rather than an ellipsis
(omission) of が or は. (For example, I don't think 問題ない is particularly
informal, although omissions usually are.)

There is at least one other similar phrase, 異常なし ("No concerns"). You can read
about なし (an older variant of ない) and ない in detail here: [What does 「なし」in
「問題なし」 mean?](https://japanese.stackexchange.com/questions/17896/what-
does-%E3%81%AA%E3%81%97-in-%E5%95%8F%E9%A1%8C%E3%81%AA%E3%81%97-mean)
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2016-01-06T13:37:10.743
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2016-01-06T13:50:25.093
2017-04-13T12:43:44.207
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answer