Ideals in Commutative Rings Containing a Field
130244
Exercise similar to prime avoidance theorem in R.Y. Sharp's textbook
45684
Is quotient of a ring by a power of a maximal ideal local?
130466
Proving every prime ideal is maximal in a finite dimensional ring over a field.
118513
Ideal of product of affine varieties
138882
A prime poset of ideals
69649
If an ideal contains the multiplicative identity, then it is the whole ring
67944
Nilpotent Elements and Intersection of Prime Ideals
97740
Homogeneous ideals are contained in homogeneous prime ideals
1719
Ideals in the ring of Gaussian integers
16945
Finding the Ideals of a Direct Product of Rings
29019
Ideals in direct product of rings
19883
Prime ideals of the matrix ring
50908
Showing a Ring and an Ideal are equal
40975
Quotient of the ring of integers of a number field by a prime ideal
138130
If $I$ is a maximal ideal of $R$, why is $R/I$ a field?
24247
Ring Inside an Algebraic Field Extension
3129
A commutative ring is a field iff the only ideals are $(0)$ and $(1)$