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first sentence

The first sentence currently reads:

Perhaps the simplest non-trivial example of semigroup which is not group is a semigroup with two elements.

The sentence needs more indefinite articles. Also, you may want to be a little more precise: You are referring to a particular semigroup. I suggest the following:

Perhaps the simplest non-trivial example of a semigroup which is not a group is a particular semigroup with two elements.

Parting words from the person who closed the correction: 
Status: Accepted
Reference to the user who closed the correction.: 
Reference to the article this correction is about: 
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