Any hints on this one?
I'm starting in a way that seems awkward and roundabout. Let R be a ring. If R is a field, then <0> is a maximal ideal of R; otherwise R contains at least one nonzero element that is not a unit, say x.
Then if R has a unity element, is a proper ideal of R.
Hints on where to go next or how to start over? I know there are lots of theorems on maximal ideals, but I'm (for now) trying to do this by brute force.
2006-08-13
00:35:07
·
4 answers
·
asked by
Anonymous
in
Mathematics