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Results tagged with ag.algebraic-geometry
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user 10147
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
11
votes
Accepted
What conditions are needed for $-\otimes_A B$ to be faithful?
The functor you mention is faithful if and only if the functor $-\bigotimes_A B :A-mod\to A-mod$ is faithful, ie iff $B$ is a faithful $A$-module.
For a concrete counterexample take $f:\mathbb{Z}\to …
- 441
17
votes
Accepted
What is the theory of local rings and local ring homomorphisms?
If you know the objects of a geometric theory then you also know its morphisms because $\mathbb{T}(\mathbf 2,\mathcal E)\simeq [\mathbf 2,\mathbb{T}(\mathcal E)]$. This is Lemma 4.2.3 in Chapter B of …
- 441