I was taught that the indefinite article "each" is always singular.

But somehow I came across this sentence.

The nouns 'student' and 'nephew' each have the determiner. (This is from a grammar book explaining about subject-verb agreement.)

Could you please help me analyze the sentence? Is it correct?

Thanks!Emotion: smile
The sentence is fine if there is a reason for the before determiner. A is the first thing that comes to my mind. Another example of each used in a similar way: Give the boys 10 euros each. However, you must say each boy, you cannot say each boys.

Thanks CB!

I just realized that I already had encountered other sentences with that kind of structure.
But it may be something that I still need to get more familiarized with. Emotion: smile