Maximal left ideal is bilateral
133706
If R is a local ring, then its maximal left-ideal is a left and right ideal
49521
In an extension of finitely generated $k$-algebras the contraction of a maximal ideal is also maximal
76661
Checking the maximality of a principal ideal in $R[x]$
131792
Questions about right ideals
93723
Find all the maximal ideals in the ring $\mathbb{R}[x]$.
81550
Linking two theorems: on algebraic closure and on minimal splitting field
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
18406
An ideal whose radical is maximal is primary
7833
Ideal and minimal polynomial
60514
Isometric  Left Inverse Adjoint
137607
Difference between left and right cosets
113582
How can I find an element $x\not\in\mathfrak mM_{\mathfrak m}$ for every maximal ideal $\mathfrak m$
89782
To show that $\langle x-a , y-b\rangle$ is a maximal ideal of $F[x,y]$ by showing that $F[x,y]/\langle x-a , y-b\rangle$ is a field
587
Ideal Generated by the Union of Two Ideals
28629
Is the axiom of choice necessary to prove that closed points in the Zariski topology are maximal ideals?
46040
Preimage of maximal ideal is maximal (why is this answer wrong?)
89313
Maximal ideals of polynomial rings in infinitely many variables