After reading the comments and answer for this post, I have realized that the best (and/or maybe the only) way to master elliptical structure is seeing and examining more examples in this subject.
I have found out that we can have many examples of elliptical structure in coordinate structures, such as
I ask you to do something, and you ask me to do something .
However, I have been notified that the following example cannot be linguistically acceptable:
He studies books about mathematics, and she studies books about physics.
(Please note that in above examples the elided words are indicated with subscripts.)
After observing the former typical example, I expected we can have the latter one. Can anyone explain why I should not have expected this typical example?
It may be needed to explain why I have mentioned that the second example may not be linguistically correct.
I have been notified that there exists a view stating that for gapping structure the elided material should not reduce a major constituent; by constituent of a sentence I mean the largest sequence of words that can be replaced by a single part of speech: a noun, a verb, an adjective, or an adverb. Now, in the sentence “She studies books about physics”, “books about physics” is the major constituent, so according to the mentioned view it should not be reduced by elision.
Now, my question is:
Is the above view globally acceptable among all English writers and linguists?