How do you find all ideals of the R := K x K, where K is a field?
41629
Structure of ideals in the product of two rings
120181
The ideal generated by $2$ and $ x$ in $\mathbb{Z}[x]$
111493
Division algorithm for polynomials in R[x], where R is a commutative ring with unity.
133561
show that if $K$ is a field then $K[x]$ is principal
60391
Ideal Generated by Three Elements in Polynomial Ring
118781
product of ideals in matrix ring
116943
Proof for maximal ideals in $\mathbb{Z}[x]$
50908
Showing a Ring and an Ideal are equal
78561
Algebraic field extensions: Why $k(\alpha)=k[\alpha]$.
40975
Quotient of the ring of integers of a number field by a prime ideal
29019
Ideals in direct product of rings
137858
Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?
27167
Ideals in $F[x]$ and Euclidean domains are generated by any element of minimal degree
111114
Prove that an ideal in $k[x,y]$ is a prime ideal
104789
How to tell an ideal of integer polynomial ring is principal?
512
Finding generator for the ideal generated by $a$ and $b$ in an euclidean domain
102341
Primary decomposition of a monomial ideal