how to prove that $\mathbb Q$ is flat as a $\mathbb Z-$module
128701
Are $\mathbb{Q}$ or $\mathbb{Z}$ flat modules?
74974
When $\operatorname{Hom}_{R}(M,N)$ is finitely generated as $\mathbb Z$-module or $R$-module?
53531
Birational and faithfully flat $\implies$ isomorphism
154847
homomorphism from $S_3$ to $\mathbb Z/3\mathbb Z$
51687
Is the set $ \ (\mathbb{Z}_p \setminus \mathbb{Z}) \cap \mathbb{Q}$ non-empty?
102112
Idempotents in $\mathbb Z_n$
98731
Show that there is no epimorphism from ($\mathbb{Q}$, +) to ($\mathbb{Z}$, +)
66313
$\mathbb{Z}[i]/(a+bi) \cong \mathbb{Z}_{a^2+b^2}$ if $(a,b)=1$
58009
How to show that $\mathbb Q(\sqrt 2)$ is not field isomorphic to $\mathbb Q(\sqrt 3).$
86015
$\mathbb Q[x]/(x^2+1)$ is not isomorphic to $\mathbb Q[x]/(x^2+2)$
148550
Units in quotient ring of $\mathbb Z[X]$
144105
Ring homomorphism from $\mathbb Z$ to $\mathbb Z$ is always identity or $0$
105141
$\mathbb R[x]/\langle x^2+1\rangle\simeq\mathbb C$ and $\mathbb R[x]/\langle x^2+1\rangle$ contains a zero of $x^2+1$
142699
Is $R/N(R)$ a faithfully flat $R$-module?
35216
Prove $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5}):\mathbb{Q}$ is a simple extension
125604
Proof that $\mathbb{Z}$ has no zero divisors
33052
How to prove $\bar{m}$ is a zero divisor in $\mathbb{Z}_n$ if and only if $m,n$ are not coprime