how to construct free resolution of the $ℤ_{4} $ module $ℤ_{2}$?
5577
If $m$ divides $n$, find a free resolution of $\mathbb{Z}/m$ as a $\mathbb{Z}/n$-module.
74918
Construction of addition and multiplication table for GF(4)
158232
Tensor product of a module with an ideal is isomorphic to their standard product
85752
Show that $M=\frac{\mathbb{Z}^3}{\langle (3,3,1),(2,2,2)\rangle}$ is isomorphic to $\mathbb{Z} \oplus \mathbb{Z}_4$ as $\mathbb{Z}$-modules
82788
Direct summand of a free module
117211
Infinite linear independent family in a finitely generated $A$-module
77969
Question about proof for $S_4 \cong V_4 \rtimes S_3$
101473
Tensor product of a sheaf of module and a residue field
125980
Isomorphic Lie Algebra $so(4)$ and $su(2) \times su(2)$
42412
Singular homology $S^{n}$ with rational coefficients
142699
Is $R/N(R)$ a faithfully flat $R$-module?
8417
Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
134294
A (not necessarily unitary) $R$ module $M$ splits into $B\oplus C$ where $B$ is unitary and $RC=\{0\}$.
133238
Why does $\mathrm{Tor}_0^R(M,N)\cong M\otimes_R N$?
145722
Prove there is a bijection between the set of $R[x]$-module structures on $M$ and $\mathrm{End}_{R-\mathsf{Mod}}(M)$.
47086
Quotient rings and free modules
121449
An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$