Question on the History of a Notation
Often when one does field theory, or at least this was my experience, one's first encounter notationally with a field is that they are generically denoted or . This of course makes sense for the same reason that vector spaces are generically denoted , modules and monoids , rings , and groups . Moreover, it is common (in accordance with sets) that these structures should have a capitalized letter. That said, it seems to be a universal notation among more advanced field theory books (especially those dealing in algebraic number theory) to denote fields by --not f and not capitalized. Is there any particular reason for this? Is it possible that it is for the same reason that is the integer (zhalen)?