map $A \otimes B \to A \otimes C$ induced by inclusion an injection even if $A$ not free?
95412
Tensoring is not left exact
6101
Are $\mathbb{C} \otimes _\mathbb{R} \mathbb{C}$ and $\mathbb{C} \otimes _\mathbb{C} \mathbb{C}$ isomorphic as $\mathbb{R}$-vector spaces?
148569
Embeddings $A → B → A$, but $A \not\cong B$?
44361
An automorphism that has no fixed points except for the identity and is its own inverse implies commutativity
71102
Subfields of $\mathbb{C}$ which are connected with induced topology
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
134588
Seeking a direct proof about nested inclusions
127198
What is $\mathbb{C}^{Aut(\mathbb{C}/\mathbb{Q})}$?
77791
Proving an inclusion related to algebraic sets and interpreting it
118612
Neutral element in $\hom_C(A, B)$
150605
Existence of a regular uncountable $\aleph_{\alpha}$ without $\mathsf{AC}$
32302
Neukirch’s Number Theory – why is $ℂ \otimes_ℚ K → K_ℂ,~z \otimes a ↦ (j(z)a)_τ$ an isomorphism?
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
147564
Why does $(A/I)\otimes_R (B/J)\cong(A\otimes_R B)/(I\otimes_R 1+1\otimes_R J)$?
67717
$A \oplus B = A \oplus C$ imply $B = C$?
146356
To prove two sets are isomorphic is it sufficient to find 2 injections or 2 surjections?
12474
Does an injective endomorphism of a finitely-generated free R-module have nonzero determinant?