Is the canonical map $U^* \otimes V^* \to (U \otimes V)^*$ always injective?
61993
Why is $V^{\vee}\otimes W^{\vee}\longrightarrow (V\otimes W)^{\vee}$ always injective?
78950
Does this map extend to a unique automorphism of the polynomial ring of an integral domain?
51483
Prove: If a linear map, $φ: U→V$ is bijective, then $φ(x)=0$ has only the solution $x=0$.
57269
A special bijection between $\mathbb{R}\times \mathbb{R}$ and $\mathbb{R}$
98696
Is the exponential map ever not injective?
26110
Canonical isomorphism between $\mathfrak{so}(3)$ and $\mathbb R^3$ with vector cross product
109498
Linear maps $f: M_n \longrightarrow \mathbb{R}$ such that $f(AB) = f(BA)$
125277
Image of the tensor product of strict maps of Banach spaces
80996
A canonical construction proving $\left|HK\right| = \left|H\right|\left|K\right| / \left|H \cap K\right|$?
126472
Surjective endomorphisms of uniserial modules
151354
Why are there no non-trivial regular maps $\mathbb{P}^n \to \mathbb{P}^m$ when $n > m$?
84301
Showing that some Function on the Unit Disc is injective
46664
Is every endomorphism of the quaternion ring surjective?
34234
Kernel of injective group homomorphism
150885
$v \otimes v' = v' \otimes v$ implies $v = av'$
87750
Hom / tensor adjunction for $O_X$ modules?
63587
Possible Jordan Canonical Forms Given Minimal Polynomial