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Results tagged with ac.commutative-algebra
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user 102
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
5
votes
Accepted
What is correct name of the following construction?
This is the image of $I$ in the localization $\mathbb Q[x_1,x_2,\dots,x_n]_{I}$.
There is an issue here though. If $I$ is not a prime ideal, then its complement is not multiplicatively closed, and th …
- 2,537
3
votes
2
answers
423
views
Reference Request: Smith Normal Form for maps between free _graded_ modules
I feel like this should be easy, but I cannot quite find a literature reference for this:
We know (i.a. from the Kaplansky reference in Does Smith normal form imply PID?) that sufficient for Smith nor …
- 2,537
4
votes
Homological algebra for commutative monoids?
Note that Homological algebra for abelian groups is really about homological algebra in the category of Z-modules.
The immediate neighbouring area I know of, where we take something not a module over …
- 2,537