If $V$ is a $KG$-Module whose only endomorphisms are scalar multiples of $\operatorname{id}_V$, then $V$ is irreducible
60111
On the converse of Schur's Lemma
23735
Divisible module which is not injective
76047
Annihilators of elements of a finitely generated faithful module over a noetherian reduced ring
126644
Simple module and homomorphisms
95942
$k[x]/(x^n)$ module with finite free resolution is free
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
70658
Isomorphism between quotient modules
34712
Decomposable elements of $\Lambda^k(V)$
141792
Slick proof the determinant is an irreducible polynomial
29453
An epimorphism from $S_{4}$ to $S_{3}$ having the kernel isomorphic to Klein four-group
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension
114198
Showing that $y$ is irreducible in $\mathbb R[x,y]/(x^2+y^2-1)$.
66546
Tensor product of reduced $k$-algebras must be reduced?
102871
$\langle r\rangle$ maximal $\iff r$ irreducible
124864
A not free $\mathbb{Z}$-module
126472
Surjective endomorphisms of uniserial modules
70249
Irreducibility of Polynomials in $k[x,y]$