Can we shorten the direct sum of modules?
114773
counterexamples on modules
100303
A necessary and sufficient condition for $A\cap(B+C)=(A\cap B)+C$ to hold for submodules
72295
A difficulty in understanding the proof of distributivity of tensor products over direct sums for modules.
151757
Simplify $\sum_{i=0}^{N/2}{N-i\choose i}$
124938
Can we remove the ( ) bracket from Theorem 1.2.1 ( [7])
69398
Rank-nullity theorem for free $\mathbb Z$-modules
22529
The support of a non finitely generated module
125058
Prove that direct sum of torsion module is torsion
93176
Projectivity of a module
145161
Testing whether an element of a tensor product of modules is zero
41294
Permutation module of $S_n$
113259
The confusing nature of direct sum for finite abelian groups
157236
Tensor product of modules.
35625
Direct sum of orthogonal subspaces
120637
Is there a unique cyclic submodule for every factor dividing the order of a cyclic module?
75641
Is there a (f.g., free) module isomorphic to a quotient of itself?
103866
decomposing a factor group into a direct sum of cyclic groups