Field of Fractions $F$ is a finitely generated $R$-module iff $F$ is equal to its integral domain
139463
Commutative integral domain does not finitely generate its field of fractions
38028
finitely generated k-algebra and polynomial ring
117005
Rules in the ring with coefficients in finite field $\mathbb{F}_p$
128550
Algebraic field extension and intermediate integral domain
93118
How to show that if two integral domains are isomorphic, then their corresponding field of quotients are isomorphic?
54267
Field of fractions of $\mathbb{Q}[x,y]/\langle x^2+y^2-1\rangle$
31049
If $p$ is an irreducible element of an integral domain $D$, and if $e$ belongs to $D^\ast$ prove that $ep$ is also ireducible
57031
Ring of fractions of $R$ is integral over $R$
14259
If M+N and M$\cap$N are finitely generated modules, so are M and N.
85206
Verifying proof :an Ideal $P$ is prime Ideal if $R/P$ is an integral domain.
24224
How to prove the ring of Laurent polynomials over a field is a principal ideal domain?
9806
$M$ finitely generated if submodule and quotient are finitely generated.
14158
Prove that $R$ is an integral domain $\Leftrightarrow$ $R[x]$ is an integral domain
103561
Residue fields of schemes of finite type (over $\mathbb{Z}$)
141659
Every field is an integral domain
99423
Is it true every ideal of $\mathbb{Z}[x]$ is finitely generated?
93629
Ideal quotient of fractional ideals