Why should this ideal be maximal?
464
Prove that the ideal $(X_1-a_1,...,X_n-a_n)$ is maximal in $K[X_1,\dots,X_n]$
131792
Questions about right ideals
112150
Prove that the ideal $(x^2 + x+2)$ is maximal in $F_3[x]$
144245
Shorter proof of $R/I$ is a field if and only if $I$ is maximal
49875
Question on Comaximal Ideals
45962
Show that any prime ideal from such a ring is maximal.
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?
45575
why each left ideal of this is minimal?
130466
Proving every prime ideal is maximal in a finite dimensional ring over a field.
131497
Maximal ideal not containing the set of powers of an element is prime
57198
How to show that a valuation ring has a unique maximal ideal?
93723
Find all the maximal ideals in the ring $\mathbb{R}[x]$.
44083
prove that maximal ideal in $\mathbb{Z}$ generated by a prime number
100961
Ideals in valuation rings
110022
Showing prime and maximal ideal
114343
If $I$ and $J$ are ideals in a ring $R$ with $1$ such that $I+J = R$, show that $I^m$ and $J^n$ are co-maximal for all $m,n \in \mathbb{N}$
53367
In a principal ideal domain, prove that every non trivial prime ideal is a maximal ideal. What could be wrong in this approach?