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Results tagged with ac.commutative-algebra
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user 3901
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
3
votes
My first question - on Affine Schemes in Algebraic Geometry
Maybe you will be interested in the thesis of Mel Hochster. He characterizes the image of Spec in Top. The article based on it is called Prime Ideal Structures in Commutative Rings and appeared in the …
- 3,726
0
votes
Accepted
Extension of Tate's result regarding Tor
I am not sure what the protocol is on answering ones own question so I am making it community wiki.
What I was most curious about is the following:
When does the projective resolution of a commutativ …
- 3,726
3
votes
4
answers
873
views
Extension of Tate's result regarding Tor
In a 1957 paper (Link), Tate shows that if $I \subset R$ is an ideal of the noetherian ring R then there is a graded commutative DGA $X$ over $R$ with $H_i X=0$ except $H_0 X= R/I$ (I guess R should b …
- 3,726
29
votes
How to introduce notions of flat, projective and free modules?
All of this is coming from the point of view of being a student. I took a commutative algebra course last winter and am currently taking a homological algebra course, so maybe I can touch on your diff …
- 3,726