A "maximal" ideal of zero divisors is prime.
107463
Is an ideal which is maximal with respect to the property that it consists of zero divisors necessarily prime?
2995
A finite dimensional algebra over a field has only finitely many prime ideals and all of them are maximal
105313
Existence of minimal prime ideal contained in given prime ideal and containing a given subset
111287
number of prime ideals in algebraic integers
54916
Maximal ideal in commutative ring
68202
Must an ideal generated by an irreducible element be a maximal ideal?
138572
Is $(xy-1)$ a maximal ideal in $\mathbb C[x,y]$?
57198
How to show that a valuation ring has a unique maximal ideal?
131497
Maximal ideal not containing the set of powers of an element is prime
37929
Classification of prime ideals of $\mathbb{Z}[X]$
157876
If every prime ideal is maximal, what can we say about the ring?
149412
Every prime ideal of a finitely generated $\mathbb{R}$-algebra is an intersection of maximal ideals?
30714
A question on ring homomorphisms and maximal ideals.
116943
Proof for maximal ideals in $\mathbb{Z}[x]$
80232
Suppose that R is a commutative ring with unity such that for each $a$ in $R$ there is an integer $n > 1\mid a^n =a$. Every prime ideal is maximal?
154530
Rings whose elements are partitioned between units and zero-divisors.
6307
maximal ideal not containing some expression