Ring with maximal ideal not containing a specific expression
6307
maximal ideal not containing some expression
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?
115920
Showing $R$ is a local ring if and only if all elements of $R$ that are not units form an ideal
111679
Example of a ring without unity that has a subring with unity?
113582
How can I find an element $x\not\in\mathfrak mM_{\mathfrak m}$ for every maximal ideal $\mathfrak m$
80616
A ring with few invertible elements
45962
Show that any prime ideal from such a ring is maximal.
92519
ideal behind Maximal ideals are Prime ideals
87382
Non-invertible elements form an ideal
53770
Let $R$ be a finite commutative ring. Show that an ideal is maximal if and only if it is prime.
133975
Localising a polynomial ring and non-maximal prime ideal
104377
Maximal Ideals in Ring of Continuous Functions
70047
Is the ideal generated by irreducible element in principal ideal domain maximal?
36150
Ideal in a ring of continuous functions
118306
$I:=\{f(x)\in R\mid f(1)=0\}$ is a maximal ideal?
54345
Prove if a non-trivial ring $R$ has a unique maximal left ideal $J$ , then $J$ is two-sided and is also the unique maximal right ideal in $R$.
139794
In a (not necessarily commutative) ring, a nilpotent maximal ideal is unique.