Cardinalities of bases of a free $R$ module are same?
100340
Invariant dimension property on a ring without zero divisors
99707
free module implies surjective map of affine schemes
111307
If ideal $I$ of domain $R$ is free $R$-module, then $I$ is principal ideal.
137011
showing $\psi: R\to \mathbb C$ is ring isomorphism.
76501
How can we show that $\mathbb Q$ is not a free $\mathbb Z$-module?
34065
Submodule of free module over a p.i.d. is free even when the module is not finitely generated?
22629
rank of the free group: $\mathrm{rank} F_X=|X|$
95942
$k[x]/(x^n)$ module with finite free resolution is free
100303
A necessary and sufficient condition for $A\cap(B+C)=(A\cap B)+C$ to hold for submodules
42603
How can I prove that the cadinality of a set minus a finite number of elements of it is still the same as the original set?
41846
$(\mathbb{R}^n,\|\cdot\|_{p})$ is isometrically isomorphic to $(\mathbb{R}^n,\|\cdot\|_{q})$ iff $p=q,$
121465
$R[x]$ has a subring isomorphic to $R$.
69384
Are the following modules free and/or isomorphic?
94363
Prove: Any open interval has the same cardinality of $\Bbb R$ (without using trigonometric functions)
22604
Can $R \times R$ be isomorphic to $R$ as rings?
21466
$P$ is projective . Show that $P$ is a direct summand of a free $R-$ module
17978
Isomorphism classes of $\mathbb{Z}[i]$ modules.