Prove that every prime ideal of $R$ is maximal.
45962
Show that any prime ideal from such a ring is maximal.
464
Prove that the ideal $(X_1-a_1,...,X_n-a_n)$ is maximal in $K[X_1,\dots,X_n]$
118306
$I:=\{f(x)\in R\mid f(1)=0\}$ is a maximal ideal?
104377
Maximal Ideals in Ring of Continuous Functions
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
136710
Prove that for every $a\in A$ $\exists$ $q\in M,s\in A$ s.t. $a=sba+qa$ where $M$ is maximal ideal in $A$.
138114
Proving the quotient of a principal ideal domain by a prime ideal is again a principal ideal domain
45684
Is quotient of a ring by a power of a maximal ideal local?
111996
Maximal and Prime Ideal in Z
135586
Prove that the preimage of a prime ideal is also prime.
151829
Why are maximal ideals prime?
54916
Maximal ideal in commutative ring
93641
A maximal ideal among those avoiding a multiplicative set is prime
97740
Homogeneous ideals are contained in homogeneous prime ideals
110022
Showing prime and maximal ideal
96144
Every element outside the maximal ideal of a local ring is a unit
113582
How can I find an element $x\not\in\mathfrak mM_{\mathfrak m}$ for every maximal ideal $\mathfrak m$