Zero element of $\mathrm{Hom}_C(X,Y)$ in the additive category $C$
118612
Neutral element in $\hom_C(A, B)$
17304
Tensor product of two finitely-generated modules over a local ring is zero
101095
Constructing an example s.t. $\operatorname{Hom}_R(M,N)$ is not finitely generated
63541
Projective and injective modules; direct sums and products
83115
A set of elements in a reduced unity ring
51898
Show that $\operatorname{Hom}_{R} (R,M) \cong M$
18361
Does the unit generate the additive group in a unital ring with cyclic additive group?
30753
Showing there is no ring whose additive group is isomorphic to $\mathbb{Q}/\mathbb{Z}$
80547
If $0$ is the zero-object $ \Longrightarrow F(0) $ is the zero object when $F$ additive
13282
In the category $\mathbf{Set}$ is "the product of an empty set of sets a one-element set"?
78873
How to show that the monomials are not a Schauder basis for $C[0,1]$
117777
What are the zero divisors of $C[0,1]$?
145161
Testing whether an element of a tensor product of modules is zero
17926
Zero divisor in $R[x]$
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
112131
Characterizing all ring homomorphisms $C[0,1]\to\mathbb{R}$.
69398
Rank-nullity theorem for free $\mathbb Z$-modules