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For questions requesting examples of a certain structure or phenomenon
17
votes
Can a module be an extension in two really different ways?
I believe this is a counter example. Let $R=\mathbb{C}[x]$, and consider finite-dimensional modules (ie, f.d. vector spaces equipped with a distinguished endomorphism). For convenience, I will iden …
5
votes
Examples and intuition for arithmetic schemes
If you are looking for good first examples, Mumford's Red Book and Eisenbud and Harris's 'Geometry of Schemes' have some good pictures and examples. …