Maximal ideals and principal ideals domain
121750
Let $R$ be a commutative, unital ring and let $I$ be an ideal of $R.$ Prove that if $I$ is maximal then $R/I$ is a field.
129371
Maximal ideals in the ring of real functions on $[0,1]$
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
67203
Complement of maximal multiplicative set is a prime ideal
41629
Structure of ideals in the product of two rings
138572
Is $(xy-1)$ a maximal ideal in $\mathbb C[x,y]$?
90314
Maximal ideals in $R[x]$
145351
Ring of formal power series over a principal ideal domain is a unique factorisation domain
151829
Why are maximal ideals prime?
63207
Zorn's lemma and maximal ideals
110022
Showing prime and maximal ideal
78626
Let $R$ be a commutative ring. If $R[X]$ is a principal ideal domain, then $R$ is a field.
110984
Ideals and prime ideals in a commutative ring.
87103
Quick question about ideals of field $F$ in $F[x]$ are principal.
19230
Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
33245
Show that every ideal of the ring $\mathbb Z$ is principal
111189
Intersection of all maximal ideals containing a given ideal