Is $I=(x,y)$ seen as an $\mathbb C[x,y]-$module is free
122012
The ideal $(x,y)$ is not a free $K[x,y]$-module
18540
Isomorphism from $\mathbb{C}[G]$ to $\prod_{i=1}^h M_{n_i}(\mathbb{C})$.
4652
Is $V$ a simple $\text{End}_kV$-module?
133636
Is $\mathbb Z[X]/(X^2-1)$ a domain?
145722
Prove there is a bijection between the set of $R[x]$-module structures on $M$ and $\mathrm{End}_{R-\mathsf{Mod}}(M)$.
84189
Is $\mathbb{C}$ equal to $\mathbb{R}^2$?
27472
Prove that $PSL(2,\mathbb{Z})$ is free product of $C_2$ and $C_3$
145039
Algebraic independence over $\overline{\mathbb Q}$ and over $\mathbb Q$
141149
Proof some module is direct sum by its submodules.
4790
Generators of a finitely generated free module over a commutative ring
102175
$Z=XY$, $E_Z[Z]$, $E_{X,Y}[XY]$
53432
What is the algebraic closure of $\mathbb F_q$?
39895
Showing a free abelian group is generated by its basis
124864
A not free $\mathbb{Z}$-module
127044
Prove that a finitely-generated free module has a finite basis
145161
Testing whether an element of a tensor product of modules is zero
155604
Show that $k[x,y]/(xy-1)$ is not isomorphic to a polynomial ring in one variable.