I am now reading a commutative algebra paper, in which the name "generic element" of a commutative ring appears, however, I can not find the definition in that paper, and also my commutative algebra textbook.
So, could you please tell me what is a generic element in a commutative ring ? Where can I find its definition and related property ? What is it useful for ?
Thank for reading my question !
Edit That paper is a survey on Castelnuovo-Mumford regularity and was written by Le Tuan Hoa. It firstly appear in the lemma 1.3.