Understanding $1$-line proof that if $V$ is irreducible $\mathbb{C}S_n$-module, then $\operatorname{res}_{S_{n-1}}V$ is multiplicity free?
138410
Centralizer of $\mathbb{C}[G]$ in $\mathbb{C}[H]$
52528
Showing that minimal polynomial has the same irreducible factors as characteristic polynomial
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
152721
Help showing $H_n=\sum_{h \in H}h \in F[H]$ is a simple submodule
95942
$k[x]/(x^n)$ module with finite free resolution is free
96380
Representation of $\text{sl}(2,\mathbb{C})$
85987
Prove that $k[x,y,z,w]/(xy-zw)$, the coordinate ring of $V(xy-zw) \subset \mathbb{A}^4$, is not a unique factorization domain
69398
Rank-nullity theorem for free $\mathbb Z$-modules
120594
$\mathbb Z[i]/ \langle 1+2i \rangle \cong \mathbb Z_5$
21466
$P$ is projective . Show that $P$ is a direct summand of a free $R-$ module
137761
Why are the fundamental and anti-fundamental representation in $\text{SL}(2,\mathbb{C})$ not equivalent?
114640
Showing that an ideal is not a free $R-$module.
93681
Integral closure of $\mathbb{Z}$ in $\mathbb{C}$ is not finitely generated as a $\mathbb{Z}$-module?
133238
Why does $\mathrm{Tor}_0^R(M,N)\cong M\otimes_R N$?
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$
137029
Prove that $\operatorname{Hom}_{\Bbb{Z}}(\Bbb{Q},\Bbb{Z}) = 0$ and show that $\Bbb{Q}$ is not a projective $\Bbb{Z}$-module.
27629
How to prove that $S^{2n+1}/S^1$ is homeomorphic to $\mathbb CP^n$ under a given identification