Free module such that $R=R\oplus R$
52088
Isomorphism of an endomorphism ring, how can $R\cong R^2$?
45576
A surjective homomorphism between finite free modules of the same rank
152721
Help showing $H_n=\sum_{h \in H}h \in F[H]$ is a simple submodule
148828
Submodule of a free module
47630
Endomorphisms of modules satisfying chain conditions and counterexamples.
46843
A ring without the Invariant Basis Number property
76501
How can we show that $\mathbb Q$ is not a free $\mathbb Z$-module?
12636
Product Rule for mod operator: $ ab\bmod p = ((a\bmod p)(b\bmod p))\bmod p$
52354
Given a idempotent endomorphism, show that $M = \ker(f) \oplus \ker (f-\text{id}_M)$
100303
A necessary and sufficient condition for $A\cap(B+C)=(A\cap B)+C$ to hold for submodules
48524
Existence proof of the tensor product using the Adjoint functor theorem.
99198
Principal ideal and free module
41846
$(\mathbb{R}^n,\|\cdot\|_{p})$ is isometrically isomorphic to $(\mathbb{R}^n,\|\cdot\|_{q})$ iff $p=q,$
83812
Artinian ring and faithful module of finite length
69384
Are the following modules free and/or isomorphic?
74445
Noetherian and Artinian modules
123130
Showing an isomorphism between exterior products of a free module