Commutative rings with unit must have a maximal ideal by Krull's theorem.
But is it true, in general, that such sets must have a unique maximal ideal?
Does it matter if the ring is finite or infinite?
Commutative rings with unit must have a maximal ideal by Krull's theorem.
But is it true, in general, that such sets must have a unique maximal ideal?
Does it matter if the ring is finite or infinite?