Is factor ring field?
43230
Is $\langle1-i\rangle$ a maximal ideal in $\mathbb{Z}[i]$?
105913
Calculations in quotient rings
91969
What are the differences between rings, groups, and fields?
116916
What's the rationale for requiring that a field be a $\boldsymbol{non}$-$\boldsymbol{trivial}$ ring?
25891
GCD in polynomial rings with coefficients in a field extension
133738
Can a ring without a unit element have a subring with a unit element?
112909
is a number field by definition a subfield of $ \mathbb C $?
6827
To identify field $Z[i]/(3)$
78626
Let $R$ be a commutative ring. If $R[X]$ is a principal ideal domain, then $R$ is a field.
3129
A commutative ring is a field iff the only ideals are $(0)$ and $(1)$
71572
factor-square property (FSP) of polynomials
58717
Why isn't $\mathbb Z [\sqrt{pq}]$ a factorial domain
10908
Associated elements in a ring
143615
Can you construct a field with 4 elements?
138826
To show that either $R$ is a field or $R$ is a finite ring with prime number of elements and $ab = 0$ for all $a,b \in R$.
107821
The ring of integers of $\mathbf{Q}[i]$
146334
Are there fields $F$ such that the rings $F[x]/(x^2)$ and $F[x]/(x^2-1)$ are isomorphic?