Ring theory- 'maximal' ideal that does not contain an element
93641
A maximal ideal among those avoiding a multiplicative set is prime
6699
An ideal that is maximal among non-finitely generated ideals is prime.
57198
How to show that a valuation ring has a unique maximal ideal?
104377
Maximal Ideals in Ring of Continuous Functions
149412
Every prime ideal of a finitely generated $\mathbb{R}$-algebra is an intersection of maximal ideals?
157876
If every prime ideal is maximal, what can we say about the ring?
45484
Height unmixed ideal and a non-zero divisor
19230
Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
2995
A finite dimensional algebra over a field has only finitely many prime ideals and all of them are maximal
77198
Showing that the characteristic of a commutative ring R without zero divisors is 0 or prime
46040
Preimage of maximal ideal is maximal (why is this answer wrong?)
63207
Zorn's lemma and maximal ideals
44083
prove that maximal ideal in $\mathbb{Z}$ generated by a prime number
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
464
Prove that the ideal $(X_1-a_1,...,X_n-a_n)$ is maximal in $K[X_1,\dots,X_n]$
92420
Characteristic of  a Non-unital Integral Ring
63338
Noncommutative failure of IBN: $\,R^n\cong R^m \Rightarrow n - m,$ ring $R$ with maximal ideal $I$ such that $R/I$ is not a division ring?