Ideal of polynomial ring is generated by a single element
27167
Ideals in $F[x]$ and Euclidean domains are generated by any element of minimal degree
115920
Showing $R$ is a local ring if and only if all elements of $R$ that are not units form an ideal
52966
Rings, ideals and units-proof
27766
Comaximal ideals in a commutative ring
69012
How to directly prove every element in a ring with exactly three ideals is either a unit or a zero divisor?
80397
Show that this set of polynomials is ideal in F[x]
99198
Principal ideal and free module
3129
A commutative ring is a field iff the only ideals are $(0)$ and $(1)$
90314
Maximal ideals in $R[x]$
34183
An equivalent condition with $\{0\}$ being the only nilpotent ideal
512
Finding generator for the ideal generated by $a$ and $b$ in an euclidean domain
81743
Prime ideals in $C[0,1]$
29019
Ideals in direct product of rings
16945
Finding the Ideals of a Direct Product of Rings
92822
Finite number of elements generating the unit ideal of a commutative ring
104789
How to tell an ideal of integer polynomial ring is principal?
33245
Show that every ideal of the ring $\mathbb Z$ is principal