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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
15
votes
1
answer
4k
views
is residue field ever flat over its local ring?
Let R be a local ring with maximal ideal m and residue field k. Is k ever flat over R? What conditions are needed on R?
Sorry, it's not a very profound question. It came up in a derived functor ca …
6
votes
1
answer
1k
views
reference for p-local and p-complete integers
Can anyone suggest a good thorough reference for $p$-localization and $p$-completion of the integers? I'm an algebraic topologist who's found himself washed up without any intuition.
In particular, …